Deck 15: The Nature of Graphs and Functions

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Question
Is the set a function?
Is the set a function? ​   ​ Answer yes or no.<div style=padding-top: 35px>
Answer yes or no.
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Question
Find the difference quotient, Find the difference quotient,   for the function given below. ​  <div style=padding-top: 35px> for the function given below.
Find the difference quotient,   for the function given below. ​  <div style=padding-top: 35px>
Question
Let P(x) be the number of prime numbers less than x. Find ​P​​(14).

​P​(14) = __________
Question
Find the difference quotient, Find the difference quotient,   for the given function.​   ​   __________<div style=padding-top: 35px> for the given function.​ Find the difference quotient,   for the given function.​   ​   __________<div style=padding-top: 35px> Find the difference quotient,   for the given function.​   ​   __________<div style=padding-top: 35px> __________
Question
If <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> , find ​h​(3.8). ​

A) <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
Question
It is estimated that t years from now, the population of a certain suburban community will be ​ <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
Thousand people. What will the population of the community be 7 years from now?

A) <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
Question
If If   , find ​h​(3.5). Round to two decimal places. ​   __________<div style=padding-top: 35px> , find ​h​(3.5). Round to two decimal places.
If   , find ​h​(3.5). Round to two decimal places. ​   __________<div style=padding-top: 35px> __________
Question
Is the set a function? ​ <strong>Is the set a function? ​   ​</strong> A) function B) not a function <div style=padding-top: 35px>

A) function
B) not a function
Question
Use the vertical line test to determine whether the curve is a function. ​
<strong>Use the vertical line test to determine whether the curve is a function. ​ ​   ​</strong> A) not a function B) function <div style=padding-top: 35px>

A) not a function
B) function
Question
For the given verbal description, write a rule in the form of an equation. ​
For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7.

A) <strong>For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
Question
Find the difference quotient, <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> for the given function. ​ <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
Question
It is estimated that t years from now, the population of a certain suburban community will be
It is estimated that t years from now, the population of a certain suburban community will be ​   ​ thousand people. What will the population of the community be 5 years from now? ​   __________ people<div style=padding-top: 35px>
thousand people. What will the population of the community be 5 years from now?
It is estimated that t years from now, the population of a certain suburban community will be ​   ​ thousand people. What will the population of the community be 5 years from now? ​   __________ people<div style=padding-top: 35px> __________ people
Question
For the given verbal description, write a rule in the form of an equation.

For each number x in the domain, the corresponding range value y is found by multiplying by 5 and then subtracting 4.
Question
Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​

A) ​ <strong>Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​</strong> A) ​   B)   C)   ​ D) ​   <div style=padding-top: 35px>
B) <strong>Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​</strong> A) ​   B)   C)   ​ D) ​   <div style=padding-top: 35px>
C) <strong>Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​</strong> A) ​   B)   C)   ​ D) ​   <div style=padding-top: 35px>
D) ​ <strong>Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​</strong> A) ​   B)   C)   ​ D) ​   <div style=padding-top: 35px>
Question
Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​

A) <strong>Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
Question
Find the difference quotient, <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> for the function given below. ​ <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
Question
Use the vertical line test to determine whether the curve is a function.
Use the vertical line test to determine whether the curve is a function. ​   ​ The curve is __________ (a function, not a function).<div style=padding-top: 35px>
The curve is __________ (a function, not a function).
Question
Is the set of ordered pairs a function? ​ <strong>Is the set of ordered pairs a function? ​   ​</strong> A) function B) not a function <div style=padding-top: 35px>

A) function
B) not a function
Question
If <strong>If   , list conditions on the constants to assure that the graph of a line results. ​</strong> A) A and C have same signs B) A = 0 and C = 0 C) A > C D) A and C have opposite signs E) A = C <div style=padding-top: 35px> , list conditions on the constants to assure that the graph of a line results. ​

A) A and C have same signs
B) A = 0 and C = 0
C) A > C
D) A and C have opposite signs
E) A = C
Question
Is the set of ordered pairs a function?
Is the set of ordered pairs a function? ​   ​ Answer yes or no.<div style=padding-top: 35px>
Answer yes or no.
Question
If If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse<div style=padding-top: 35px> , match each condition on the constants to the appropriate graph of the curve.

a. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse<div style=padding-top: 35px> b. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse<div style=padding-top: 35px> c. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse<div style=padding-top: 35px> have opposite signs
d. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse<div style=padding-top: 35px> have same signs
an ellipse
Question
Identify the curve.

Identify the curve. ​ ​   ​ This curve is __________ (parabola, line, circle, hyperbola).<div style=padding-top: 35px>
This curve is __________ (parabola, line, circle, hyperbola).
Question
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B) ​   C) ​   D) ​   <div style=padding-top: 35px>

A) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
B) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
C) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
D) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
Question
Sketch the curve. ​ <strong>Sketch the curve. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Sketch the curve. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Sketch the curve. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Sketch the curve. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Sketch the curve. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
If If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line<div style=padding-top: 35px> , match each condition on the constants to the appropriate graph of the curve.

a. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line<div style=padding-top: 35px> b. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line<div style=padding-top: 35px> c. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line<div style=padding-top: 35px> have opposite signs
d. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line<div style=padding-top: 35px> have same signs
a line
Question
A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion.

A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ ​   ft,   ft,   ft,   ft ​  <div style=padding-top: 35px> ft, A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ ​   ft,   ft,   ft,   ft ​  <div style=padding-top: 35px> ft, A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ ​   ft,   ft,   ft,   ft ​  <div style=padding-top: 35px> ft, A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ ​   ft,   ft,   ft,   ft ​  <div style=padding-top: 35px> ft
A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ ​   ft,   ft,   ft,   ft ​  <div style=padding-top: 35px>
Question
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B)   C)   D)   <div style=padding-top: 35px>

A) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B)   C)   D)   <div style=padding-top: 35px>
Question
Identify the curve.

Identify the curve. ​ ​   ​ This curve is __________ (line, circle, parabola, hyperbola).<div style=padding-top: 35px>
This curve is __________ (line, circle, parabola, hyperbola).
Question
Sketch the curve. ​
<strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Sketch the curve. ​
<strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
If If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle<div style=padding-top: 35px> , match each condition on the constants to the appropriate graph of the curve.

a. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle<div style=padding-top: 35px> b. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle<div style=padding-top: 35px> c. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle<div style=padding-top: 35px> have opposite signs
d. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle<div style=padding-top: 35px> have same signs
a circle
Question
Identify the curve. ​
<strong>Identify the curve. ​ ​   ​</strong> A) line B) hyperbola C) circle D) no graph E) parabola <div style=padding-top: 35px>

A) line
B) hyperbola
C) circle
D) no graph
E) parabola
Question
If If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola<div style=padding-top: 35px> , match each condition on the constants to the appropriate graph of the curve.

a. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola<div style=padding-top: 35px> b. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola<div style=padding-top: 35px> c. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola<div style=padding-top: 35px> have opposite signs
d. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola<div style=padding-top: 35px> and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola<div style=padding-top: 35px> have same signs
a hyperbola
Question
Identify the curve. ​ <strong>Identify the curve. ​   ​</strong> A) point B) hyperbola C) parabola D) circle E) line <div style=padding-top: 35px>

A) point
B) hyperbola
C) parabola
D) circle
E) line
Question
Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate. ​
A = 12 ft, b = 8 ft
<strong>Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate. ​ A = 12 ft, b = 8 ft ​   ​</strong> A) The focus is 32 in. from the vertex on the axis of the parabola. B) The focus is 16 in. from the vertex on the axis of the parabola. C) The focus is 12 in. from the vertex on the axis of the parabola. D) The focus is 8 in. from the vertex on the axis of the parabola. <div style=padding-top: 35px>

A) The focus is 32 in. from the vertex on the axis of the parabola.
B) The focus is 16 in. from the vertex on the axis of the parabola.
C) The focus is 12 in. from the vertex on the axis of the parabola.
D) The focus is 8 in. from the vertex on the axis of the parabola.
Question
Sketch the hyperbola with distance between the foci 10 units and the difference of the distances 6 units. ​

A) <strong>Sketch the hyperbola with distance between the foci 10 units and the difference of the distances 6 units. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Sketch the hyperbola with distance between the foci 10 units and the difference of the distances 6 units. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Sketch the hyperbola with distance between the foci 10 units and the difference of the distances 6 units. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Sketch the hyperbola with distance between the foci 10 units and the difference of the distances 6 units. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate.
Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate. ​   ft,   ft ​   ​ The focus is __________ in. from the vertex on the axis of the parabola.<div style=padding-top: 35px> ft, Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate. ​   ft,   ft ​   ​ The focus is __________ in. from the vertex on the axis of the parabola.<div style=padding-top: 35px> ft
Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate. ​   ft,   ft ​   ​ The focus is __________ in. from the vertex on the axis of the parabola.<div style=padding-top: 35px>
The focus is __________ in. from the vertex on the axis of the parabola.
Question
A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px> ft, <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px> ft, <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px> ft, <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px> ft
<strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
State whether the statement is true or false.

The test point State whether the statement is true or false. ​ The test point   satisfies the inequality   .<div style=padding-top: 35px> satisfies the inequality State whether the statement is true or false. ​ The test point   satisfies the inequality   .<div style=padding-top: 35px> .
Question
State whether the statement is true or false.

The test point State whether the statement is true or false. ​ The test point   satisfies the inequality   .<div style=padding-top: 35px> satisfies the inequality State whether the statement is true or false. ​ The test point   satisfies the inequality   .<div style=padding-top: 35px> .
Question
State whether the statement is true or false.

The test point State whether the statement is true or false. ​ The test point   satisfies the inequality   .<div style=padding-top: 35px> satisfies the inequality State whether the statement is true or false. ​ The test point   satisfies the inequality   .<div style=padding-top: 35px> .
Question
Find three ordered pairs that satisfy the equation. ​ <strong>Find three ordered pairs that satisfy the equation. ​   ​</strong> A) (0 , 8), (1, 12), (2, 13) B) (0 ,8) , (1, 9), (2, 10) C) (0, 8), (1, 9), (2, 13) D) (0, 8), (1, 12), (2, 10) E) (1, 8), (2, 9), (3, 10) <div style=padding-top: 35px>

A) (0 , 8), (1, 12), (2, 13)
B) (0 ,8) , (1, 9), (2, 10)
C) (0, 8), (1, 9), (2, 13)
D) (0, 8), (1, 12), (2, 10)
E) (1, 8), (2, 9), (3, 10)
Question
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   <div style=padding-top: 35px>

A) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
B) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
C) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
D) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
Question
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D) ​   <div style=padding-top: 35px>

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D) ​   <div style=padding-top: 35px>
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D) ​   <div style=padding-top: 35px>
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D) ​   <div style=padding-top: 35px>
D) ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D) ​   <div style=padding-top: 35px>
Question
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D)   <div style=padding-top: 35px>

A) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D)   <div style=padding-top: 35px>
B) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D)   <div style=padding-top: 35px>
C) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D)   <div style=padding-top: 35px>
D) <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D)   <div style=padding-top: 35px>
Question
State whether the statement is true or false.

The test point State whether the statement is true or false. ​ The test point   satisfies the inequality   .<div style=padding-top: 35px> satisfies the inequality State whether the statement is true or false. ​ The test point   satisfies the inequality   .<div style=padding-top: 35px> .
Question
A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​ <strong>A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​   ​ Where n is the number of days of instruction. What does the graph of this formula look like? ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Where n is the number of days of instruction. What does the graph of this formula look like?

A) <strong>A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​   ​ Where n is the number of days of instruction. What does the graph of this formula look like? ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​   ​ Where n is the number of days of instruction. What does the graph of this formula look like? ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​   ​ Where n is the number of days of instruction. What does the graph of this formula look like? ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​   ​ Where n is the number of days of instruction. What does the graph of this formula look like? ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C)   D) ​   <div style=padding-top: 35px>

A) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C)   D) ​   <div style=padding-top: 35px>
B) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C)   D) ​   <div style=padding-top: 35px>
C) <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C)   D) ​   <div style=padding-top: 35px>
D) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C)   D) ​   <div style=padding-top: 35px>
Question
State whether the statement is true or false.

The test point (02, 3) satisfies the inequality State whether the statement is true or false. ​ The test point (02, 3) satisfies the inequality   . ​<div style=padding-top: 35px> .
Question
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
State whether the statement is true or false.

The test point (0, 0) satisfies the inequality State whether the statement is true or false. ​ The test point (0, 0) satisfies the inequality     . ​<div style=padding-top: 35px> State whether the statement is true or false. ​ The test point (0, 0) satisfies the inequality     . ​<div style=padding-top: 35px> .
Question
State whether the statement is true or false.

The test point (0, 0) satisfies the inequality State whether the statement is true or false. ​ The test point (0, 0) satisfies the inequality     . ​<div style=padding-top: 35px> State whether the statement is true or false. ​ The test point (0, 0) satisfies the inequality     . ​<div style=padding-top: 35px> .
Question
State whether the statement is true or false. ​
The test point (-8, 9) satisfies the inequality State whether the statement is true or false. ​ The test point (-8, 9) satisfies the inequality   . ​<div style=padding-top: 35px> .
Question
The healing law for skin wounds states that ​ <strong>The healing law for skin wounds states that ​   ​ Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A <sub>0</sub> . Graph the healing curve for a wound of 50 cm <sup>2</sup> . ​</strong> A)   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A 0 . Graph the healing curve for a wound of 50 cm 2 .

A) <strong>The healing law for skin wounds states that ​   ​ Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A <sub>0</sub> . Graph the healing curve for a wound of 50 cm <sup>2</sup> . ​</strong> A)   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
B) ​ <strong>The healing law for skin wounds states that ​   ​ Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A <sub>0</sub> . Graph the healing curve for a wound of 50 cm <sup>2</sup> . ​</strong> A)   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
C) ​ <strong>The healing law for skin wounds states that ​   ​ Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A <sub>0</sub> . Graph the healing curve for a wound of 50 cm <sup>2</sup> . ​</strong> A)   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
D) ​ <strong>The healing law for skin wounds states that ​   ​ Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A <sub>0</sub> . Graph the healing curve for a wound of 50 cm <sup>2</sup> . ​</strong> A)   B) ​   C) ​   D) ​   <div style=padding-top: 35px>
Question
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Find three ordered pairs that satisfy the equation.
Find three ordered pairs that satisfy the equation. ​  <div style=padding-top: 35px>
Question
Graph the line. ​ <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Graph the line. ​ <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Graph the line passing through (1, 3) with slope m = 1.5. ​

A) <strong>Graph the line passing through (1, 3) with slope m = 1.5. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Graph the line passing through (1, 3) with slope m = 1.5. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Graph the line passing through (1, 3) with slope m = 1.5. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Graph the line passing through (1, 3) with slope m = 1.5. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
If a present value P is invested at the simple interest rate r for t years, then the future value after t years is given by the formula <strong>If a present value P is invested at the simple interest rate r for t years, then the future value after t years is given by the formula   . Suppose you invest $15,000 at 8% simple interest per year. Graph the amount you will have in t years. What is the slope of the graph? ​</strong> A) m = 1,200 B) m = 108 C) m = 1,340 D) m = 1,070 E) m = 1,270 <div style=padding-top: 35px> . Suppose you invest $15,000 at 8% simple interest per year. Graph the amount you will have in t years. What is the slope of the graph? ​

A) m = 1,200
B) m = 108
C) m = 1,340
D) m = 1,070
E) m = 1,270
Question
Graph the line passing through (-2, 2) with slope m = 1. ​

A) <strong>Graph the line passing through (-2, 2) with slope m = 1. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Graph the line passing through (-2, 2) with slope m = 1. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Graph the line passing through (-2, 2) with slope m = 1. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Graph the line passing through (-2, 2) with slope m = 1. ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
Find three ordered pairs that satisfy the equation. ​ <strong>Find three ordered pairs that satisfy the equation. ​   ​</strong> A) (0, 4), (1, 8), (2, 8) B) (0, 4), (1, 8), (2, 6) C) (0, 4), (1, 6), (2, 8) D) (0, 4), (1, 6), (2, 6) E) (0, 4), (1, 6), (2, 16) <div style=padding-top: 35px>

A) (0, 4), (1, 8), (2, 8)
B) (0, 4), (1, 8), (2, 6)
C) (0, 4), (1, 6), (2, 8)
D) (0, 4), (1, 6), (2, 6)
E) (0, 4), (1, 6), (2, 16)
Question
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​ <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years.

A) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item.
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $10,100 and has a scrap value of $1,700 after 8 years, graph the amount you will have in t years. What is the slope of the graph? ​   __________<div style=padding-top: 35px>
If a certain piece of equipment costs $10,100 and has a scrap value of $1,700 after 8 years, graph the amount you will have in t years. What is the slope of the graph?
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $10,100 and has a scrap value of $1,700 after 8 years, graph the amount you will have in t years. What is the slope of the graph? ​   __________<div style=padding-top: 35px> __________
Question
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item.
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $8,100 and has a scrap value of $2,100 after 10 years, write an equation to represent the present value after t years.<div style=padding-top: 35px>
If a certain piece of equipment costs $8,100 and has a scrap value of $2,100 after 10 years, write an equation to represent the present value after t years.
Question
Graph the line. ​ <strong>Graph the line. ​   ​</strong> A)   B)   C)   D) ​   <div style=padding-top: 35px>

A) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D) ​   <div style=padding-top: 35px>
B) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D) ​   <div style=padding-top: 35px>
C) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D) ​   <div style=padding-top: 35px>
D) ​ <strong>Graph the line. ​   ​</strong> A)   B)   C)   D) ​   <div style=padding-top: 35px>
Question
Find three ordered pairs that satisfy the equation.
Find three ordered pairs that satisfy the equation. ​  <div style=padding-top: 35px>
Question
Graph the line. ​ <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
Question
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​ <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph?

A) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 15: The Nature of Graphs and Functions
1
Is the set a function?
Is the set a function? ​   ​ Answer yes or no.
Answer yes or no.
no
2
Find the difference quotient, Find the difference quotient,   for the function given below. ​  for the function given below.
Find the difference quotient,   for the function given below. ​
​
3
Let P(x) be the number of prime numbers less than x. Find ​P​​(14).

​P​(14) = __________
6
4
Find the difference quotient, Find the difference quotient,   for the given function.​   ​   __________ for the given function.​ Find the difference quotient,   for the given function.​   ​   __________Find the difference quotient,   for the given function.​   ​   __________ __________
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5
If <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​   , find ​h​(3.8). ​

A) <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>If   , find ​h​(3.8). ​</strong> A)   B) ​   C) ​   D) ​   E) ​
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6
It is estimated that t years from now, the population of a certain suburban community will be ​ <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​
Thousand people. What will the population of the community be 7 years from now?

A) <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>It is estimated that t years from now, the population of a certain suburban community will be ​   ​ Thousand people. What will the population of the community be 7 years from now? ​</strong> A)   B) ​   C) ​   D) ​   E) ​
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7
If If   , find ​h​(3.5). Round to two decimal places. ​   __________ , find ​h​(3.5). Round to two decimal places.
If   , find ​h​(3.5). Round to two decimal places. ​   __________ __________
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8
Is the set a function? ​ <strong>Is the set a function? ​   ​</strong> A) function B) not a function

A) function
B) not a function
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9
Use the vertical line test to determine whether the curve is a function. ​
<strong>Use the vertical line test to determine whether the curve is a function. ​ ​   ​</strong> A) not a function B) function

A) not a function
B) function
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10
For the given verbal description, write a rule in the form of an equation. ​
For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7.

A) <strong>For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​</strong> A)   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​</strong> A)   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​</strong> A)   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​</strong> A)   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>For the given verbal description, write a rule in the form of an equation. ​ For each number x in the domain, the corresponding range value y is found by multiplying by 2 and then subtracting 7. ​</strong> A)   B) ​   C) ​   D) ​   E) ​
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11
Find the difference quotient, <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   for the given function. ​ <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​

A) <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>Find the difference quotient,   for the given function. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​
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12
It is estimated that t years from now, the population of a certain suburban community will be
It is estimated that t years from now, the population of a certain suburban community will be ​   ​ thousand people. What will the population of the community be 5 years from now? ​   __________ people
thousand people. What will the population of the community be 5 years from now?
It is estimated that t years from now, the population of a certain suburban community will be ​   ​ thousand people. What will the population of the community be 5 years from now? ​   __________ people __________ people
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13
For the given verbal description, write a rule in the form of an equation.

For each number x in the domain, the corresponding range value y is found by multiplying by 5 and then subtracting 4.
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14
Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​

A) ​ <strong>Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​</strong> A) ​   B)   C)   ​ D) ​
B) <strong>Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​</strong> A) ​   B)   C)   ​ D) ​
C) <strong>Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​</strong> A) ​   B)   C)   ​ D) ​
D) ​ <strong>Sketch the parabola that has a distance between the directrix and its focus to be 4 units. ​</strong> A) ​   B)   C)   ​ D) ​
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15
Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​

A) <strong>Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​</strong> A)   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​</strong> A)   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​</strong> A)   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​</strong> A)   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>Let P(x) be the number of prime numbers less than x. Find ​P​(18). ​</strong> A)   B) ​   C) ​   D) ​   E) ​
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16
Find the difference quotient, <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​   for the function given below. ​ <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​

A) <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>Find the difference quotient,   for the function given below. ​   ​</strong> A)   B) ​   C) ​   D) ​   E) ​
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17
Use the vertical line test to determine whether the curve is a function.
Use the vertical line test to determine whether the curve is a function. ​   ​ The curve is __________ (a function, not a function).
The curve is __________ (a function, not a function).
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18
Is the set of ordered pairs a function? ​ <strong>Is the set of ordered pairs a function? ​   ​</strong> A) function B) not a function

A) function
B) not a function
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19
If <strong>If   , list conditions on the constants to assure that the graph of a line results. ​</strong> A) A and C have same signs B) A = 0 and C = 0 C) A > C D) A and C have opposite signs E) A = C , list conditions on the constants to assure that the graph of a line results. ​

A) A and C have same signs
B) A = 0 and C = 0
C) A > C
D) A and C have opposite signs
E) A = C
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20
Is the set of ordered pairs a function?
Is the set of ordered pairs a function? ​   ​ Answer yes or no.
Answer yes or no.
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21
If If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse , match each condition on the constants to the appropriate graph of the curve.

a. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse b. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse c. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse have opposite signs
d. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs an ellipse have same signs
an ellipse
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22
Identify the curve.

Identify the curve. ​ ​   ​ This curve is __________ (parabola, line, circle, hyperbola).
This curve is __________ (parabola, line, circle, hyperbola).
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23
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B) ​   C) ​   D) ​

A) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B) ​   C) ​   D) ​
B) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B) ​   C) ​   D) ​
C) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B) ​   C) ​   D) ​
D) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B) ​   C) ​   D) ​
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24
Sketch the curve. ​ <strong>Sketch the curve. ​   ​</strong> A)   B)   C)   D)

A) <strong>Sketch the curve. ​   ​</strong> A)   B)   C)   D)
B) <strong>Sketch the curve. ​   ​</strong> A)   B)   C)   D)
C) <strong>Sketch the curve. ​   ​</strong> A)   B)   C)   D)
D) <strong>Sketch the curve. ​   ​</strong> A)   B)   C)   D)
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25
If If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line , match each condition on the constants to the appropriate graph of the curve.

a. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line b. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line c. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line have opposite signs
d. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a line have same signs
a line
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26
A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion.

A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ ​   ft,   ft,   ft,   ft ​  ft, A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ ​   ft,   ft,   ft,   ft ​  ft, A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ ​   ft,   ft,   ft,   ft ​  ft, A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ ​   ft,   ft,   ft,   ft ​  ft
A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ ​   ft,   ft,   ft,   ft ​
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27
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B)   C)   D)

A) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B)   C)   D)
B) <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B)   C)   D)
C) <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B)   C)   D)
D) <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B)   C)   D)
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28
Identify the curve.

Identify the curve. ​ ​   ​ This curve is __________ (line, circle, parabola, hyperbola).
This curve is __________ (line, circle, parabola, hyperbola).
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29
Sketch the curve. ​
<strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)

A) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)
B) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)
C) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)
D) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)
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30
Sketch the curve. ​
<strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)

A) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)
B) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)
C) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)
D) <strong>Sketch the curve. ​ ​   ​</strong> A)   B)   C)   D)
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31
If If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle , match each condition on the constants to the appropriate graph of the curve.

a. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle b. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle c. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle have opposite signs
d. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a circle have same signs
a circle
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32
Identify the curve. ​
<strong>Identify the curve. ​ ​   ​</strong> A) line B) hyperbola C) circle D) no graph E) parabola

A) line
B) hyperbola
C) circle
D) no graph
E) parabola
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33
If If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola , match each condition on the constants to the appropriate graph of the curve.

a. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola b. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola c. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola have opposite signs
d. If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola and If   , match each condition on the constants to the appropriate graph of the curve. ​ a.   b.   and   c.   and   have opposite signs d.   and   have same signs a hyperbola have same signs
a hyperbola
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34
Identify the curve. ​ <strong>Identify the curve. ​   ​</strong> A) point B) hyperbola C) parabola D) circle E) line

A) point
B) hyperbola
C) parabola
D) circle
E) line
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35
Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate. ​
A = 12 ft, b = 8 ft
<strong>Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate. ​ A = 12 ft, b = 8 ft ​   ​</strong> A) The focus is 32 in. from the vertex on the axis of the parabola. B) The focus is 16 in. from the vertex on the axis of the parabola. C) The focus is 12 in. from the vertex on the axis of the parabola. D) The focus is 8 in. from the vertex on the axis of the parabola.

A) The focus is 32 in. from the vertex on the axis of the parabola.
B) The focus is 16 in. from the vertex on the axis of the parabola.
C) The focus is 12 in. from the vertex on the axis of the parabola.
D) The focus is 8 in. from the vertex on the axis of the parabola.
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36
Sketch the hyperbola with distance between the foci 10 units and the difference of the distances 6 units. ​

A) <strong>Sketch the hyperbola with distance between the foci 10 units and the difference of the distances 6 units. ​</strong> A)   B)   C)   D)
B) <strong>Sketch the hyperbola with distance between the foci 10 units and the difference of the distances 6 units. ​</strong> A)   B)   C)   D)
C) <strong>Sketch the hyperbola with distance between the foci 10 units and the difference of the distances 6 units. ​</strong> A)   B)   C)   D)
D) <strong>Sketch the hyperbola with distance between the foci 10 units and the difference of the distances 6 units. ​</strong> A)   B)   C)   D)
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37
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)

A) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)
B) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)
C) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)
D) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)
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38
Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate.
Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate. ​   ft,   ft ​   ​ The focus is __________ in. from the vertex on the axis of the parabola. ft, Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate. ​   ft,   ft ​   ​ The focus is __________ in. from the vertex on the axis of the parabola. ft
Beams of light parallel to the axis of the parabolic mirror shown in the figure strike the mirror and are reflected. Find the distance from the vertex to the point where the beams concentrate. ​   ft,   ft ​   ​ The focus is __________ in. from the vertex on the axis of the parabola.
The focus is __________ in. from the vertex on the axis of the parabola.
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39
A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​ <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   ft, <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   ft, <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   ft, <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)   ft
<strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)

A) <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)
B) <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)
C) <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)
D) <strong>A parabolic archway has the dimensions shown in the figure. Find the equation of the parabolic portion. ​   ft,   ft,   ft,   ft ​   ​</strong> A)   B)   C)   D)
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40
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)

A) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)
B) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)
C) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)
D) <strong>Sketch the graph of the equation. ​   ​</strong> A)   B)   C)   D)
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41
State whether the statement is true or false.

The test point State whether the statement is true or false. ​ The test point   satisfies the inequality   . satisfies the inequality State whether the statement is true or false. ​ The test point   satisfies the inequality   . .
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42
State whether the statement is true or false.

The test point State whether the statement is true or false. ​ The test point   satisfies the inequality   . satisfies the inequality State whether the statement is true or false. ​ The test point   satisfies the inequality   . .
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43
State whether the statement is true or false.

The test point State whether the statement is true or false. ​ The test point   satisfies the inequality   . satisfies the inequality State whether the statement is true or false. ​ The test point   satisfies the inequality   . .
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44
Find three ordered pairs that satisfy the equation. ​ <strong>Find three ordered pairs that satisfy the equation. ​   ​</strong> A) (0 , 8), (1, 12), (2, 13) B) (0 ,8) , (1, 9), (2, 10) C) (0, 8), (1, 9), (2, 13) D) (0, 8), (1, 12), (2, 10) E) (1, 8), (2, 9), (3, 10)

A) (0 , 8), (1, 12), (2, 13)
B) (0 ,8) , (1, 9), (2, 10)
C) (0, 8), (1, 9), (2, 13)
D) (0, 8), (1, 12), (2, 10)
E) (1, 8), (2, 9), (3, 10)
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45
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D) ​

A) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D) ​
B) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D) ​
C) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D) ​
D) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D) ​
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46
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
D) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
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47
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
D) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
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48
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
D) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
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49
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D) ​

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D) ​
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D) ​
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D) ​
D) ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D) ​
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50
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D)

A) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D)
B) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D)
C) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D)
D) <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C) ​   D)
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51
State whether the statement is true or false.

The test point State whether the statement is true or false. ​ The test point   satisfies the inequality   . satisfies the inequality State whether the statement is true or false. ​ The test point   satisfies the inequality   . .
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52
A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​ <strong>A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​   ​ Where n is the number of days of instruction. What does the graph of this formula look like? ​</strong> A)   B)   C)   D)
Where n is the number of days of instruction. What does the graph of this formula look like?

A) <strong>A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​   ​ Where n is the number of days of instruction. What does the graph of this formula look like? ​</strong> A)   B)   C)   D)
B) <strong>A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​   ​ Where n is the number of days of instruction. What does the graph of this formula look like? ​</strong> A)   B)   C)   D)
C) <strong>A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​   ​ Where n is the number of days of instruction. What does the graph of this formula look like? ​</strong> A)   B)   C)   D)
D) <strong>A learning curve describes the rate at which a person learns certain specific tasks. If N is the number of words per minute typed by a student. So for an average student ​   ​ Where n is the number of days of instruction. What does the graph of this formula look like? ​</strong> A)   B)   C)   D)
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53
Sketch the graph of the equation. ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C)   D) ​

A) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C)   D) ​
B) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C)   D) ​
C) <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C)   D) ​
D) ​ <strong>Sketch the graph of the equation. ​   ​</strong> A) ​   B) ​   C)   D) ​
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54
State whether the statement is true or false.

The test point (02, 3) satisfies the inequality State whether the statement is true or false. ​ The test point (02, 3) satisfies the inequality   . ​ .
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55
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
D) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
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56
State whether the statement is true or false.

The test point (0, 0) satisfies the inequality State whether the statement is true or false. ​ The test point (0, 0) satisfies the inequality     . ​ State whether the statement is true or false. ​ The test point (0, 0) satisfies the inequality     . ​ .
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57
State whether the statement is true or false.

The test point (0, 0) satisfies the inequality State whether the statement is true or false. ​ The test point (0, 0) satisfies the inequality     . ​ State whether the statement is true or false. ​ The test point (0, 0) satisfies the inequality     . ​ .
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58
State whether the statement is true or false. ​
The test point (-8, 9) satisfies the inequality State whether the statement is true or false. ​ The test point (-8, 9) satisfies the inequality   . ​ .
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59
The healing law for skin wounds states that ​ <strong>The healing law for skin wounds states that ​   ​ Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A <sub>0</sub> . Graph the healing curve for a wound of 50 cm <sup>2</sup> . ​</strong> A)   B) ​   C) ​   D) ​
Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A 0 . Graph the healing curve for a wound of 50 cm 2 .

A) <strong>The healing law for skin wounds states that ​   ​ Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A <sub>0</sub> . Graph the healing curve for a wound of 50 cm <sup>2</sup> . ​</strong> A)   B) ​   C) ​   D) ​
B) ​ <strong>The healing law for skin wounds states that ​   ​ Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A <sub>0</sub> . Graph the healing curve for a wound of 50 cm <sup>2</sup> . ​</strong> A)   B) ​   C) ​   D) ​
C) ​ <strong>The healing law for skin wounds states that ​   ​ Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A <sub>0</sub> . Graph the healing curve for a wound of 50 cm <sup>2</sup> . ​</strong> A)   B) ​   C) ​   D) ​
D) ​ <strong>The healing law for skin wounds states that ​   ​ Where A is the number of square centimeters of unhealed skin after t days when the original area of the wound was A <sub>0</sub> . Graph the healing curve for a wound of 50 cm <sup>2</sup> . ​</strong> A)   B) ​   C) ​   D) ​
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60
Graph the first-degree inequality in two unknowns. ​ <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)

A) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
B) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
C) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
D) <strong>Graph the first-degree inequality in two unknowns. ​   ​</strong> A)   B)   C)   D)
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61
Find three ordered pairs that satisfy the equation.
Find three ordered pairs that satisfy the equation. ​
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62
Graph the line. ​ <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)
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63
Graph the line. ​ <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)   E)
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64
Graph the line passing through (1, 3) with slope m = 1.5. ​

A) <strong>Graph the line passing through (1, 3) with slope m = 1.5. ​</strong> A)   B)   C)   D)
B) <strong>Graph the line passing through (1, 3) with slope m = 1.5. ​</strong> A)   B)   C)   D)
C) <strong>Graph the line passing through (1, 3) with slope m = 1.5. ​</strong> A)   B)   C)   D)
D) <strong>Graph the line passing through (1, 3) with slope m = 1.5. ​</strong> A)   B)   C)   D)
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65
If a present value P is invested at the simple interest rate r for t years, then the future value after t years is given by the formula <strong>If a present value P is invested at the simple interest rate r for t years, then the future value after t years is given by the formula   . Suppose you invest $15,000 at 8% simple interest per year. Graph the amount you will have in t years. What is the slope of the graph? ​</strong> A) m = 1,200 B) m = 108 C) m = 1,340 D) m = 1,070 E) m = 1,270 . Suppose you invest $15,000 at 8% simple interest per year. Graph the amount you will have in t years. What is the slope of the graph? ​

A) m = 1,200
B) m = 108
C) m = 1,340
D) m = 1,070
E) m = 1,270
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66
Graph the line passing through (-2, 2) with slope m = 1. ​

A) <strong>Graph the line passing through (-2, 2) with slope m = 1. ​</strong> A)   B)   C)   D)
B) <strong>Graph the line passing through (-2, 2) with slope m = 1. ​</strong> A)   B)   C)   D)
C) <strong>Graph the line passing through (-2, 2) with slope m = 1. ​</strong> A)   B)   C)   D)
D) <strong>Graph the line passing through (-2, 2) with slope m = 1. ​</strong> A)   B)   C)   D)
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67
Find three ordered pairs that satisfy the equation. ​ <strong>Find three ordered pairs that satisfy the equation. ​   ​</strong> A) (0, 4), (1, 8), (2, 8) B) (0, 4), (1, 8), (2, 6) C) (0, 4), (1, 6), (2, 8) D) (0, 4), (1, 6), (2, 6) E) (0, 4), (1, 6), (2, 16)

A) (0, 4), (1, 8), (2, 8)
B) (0, 4), (1, 8), (2, 6)
C) (0, 4), (1, 6), (2, 8)
D) (0, 4), (1, 6), (2, 6)
E) (0, 4), (1, 6), (2, 16)
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68
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​ <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)
If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years.

A) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)
B) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)
C) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)
D) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)
E) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $4,100 and has a scrap value of $1,700 after 5 years, write an equation to represent the present value after t years. ​</strong> A)   B)   C)   D)   E)
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69
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item.
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $10,100 and has a scrap value of $1,700 after 8 years, graph the amount you will have in t years. What is the slope of the graph? ​   __________
If a certain piece of equipment costs $10,100 and has a scrap value of $1,700 after 8 years, graph the amount you will have in t years. What is the slope of the graph?
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $10,100 and has a scrap value of $1,700 after 8 years, graph the amount you will have in t years. What is the slope of the graph? ​   __________ __________
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70
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item.
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $8,100 and has a scrap value of $2,100 after 10 years, write an equation to represent the present value after t years.
If a certain piece of equipment costs $8,100 and has a scrap value of $2,100 after 10 years, write an equation to represent the present value after t years.
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71
Graph the line. ​ <strong>Graph the line. ​   ​</strong> A)   B)   C)   D) ​

A) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D) ​
B) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D) ​
C) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D) ​
D) ​ <strong>Graph the line. ​   ​</strong> A)   B)   C)   D) ​
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72
Find three ordered pairs that satisfy the equation.
Find three ordered pairs that satisfy the equation. ​
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73
Graph the line. ​ <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)

A) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)
B) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)
C) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)
D) <strong>Graph the line. ​   ​</strong> A)   B)   C)   D)
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74
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​ <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)
If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph?

A) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)
B) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)
C) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)
D) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)
E) <strong>A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item. ​   ​ If a certain piece of equipment costs $6,100 and has a scrap value of $2,300 after 5 years, graph the amount you will have in t years. What is the slope of the graph? ​</strong> A)   B)   C)   D)   E)
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