Question 1

Solve the problem.
-Suppose the function y = 4t - 4.5 determines the actual time that has elapsed, in minutes, for t minutes of a person's estimate of the elapsed time. Find the actual time that has elapsed for an Estimate of t = 30 minutes.

Accepted Answer

A)  124.5 min
B)  12 min
C)  48 min
D)  115.5 min D

Question 2

Find the slope of the line.
-$$
2 x+4 y=0
$$

Accepted Answer

A)   2
B)   0
C)    12 \frac{1}{2} 21​ 
D)    −12 -\frac{1}{2} −21​ D

Question 3

Find the correlation coefficient.
-Consider the data points with the following coordinates:

Accepted Answer

A)   0
B)    −0.0810 -0.0810 −0.0810 
C)    −0.7749 -0.7749 −0.7749 
D)    0.7537 0.7537 0.7537 C

Question 4

The total number of reported cases of AIDS in the United States has risen from 372 in 1981 to 100,000 in 1989 and 200,000 in 1992. Does a linear equation fit this data? Explain.

Accepted Answer

The answer of The total number of reported cases of...

Question 5

Find an equation for the least squares line representing weight, in pounds, as a function of height, in inches, of men. Then, predict the height of a man who is 145 pounds to the nearest tenth of an Inch. The following data are the (height, weight)pairs for 8 men: (66, 150), (68, 160), (69, 166), (70,175), (71, 181), (72, 191), (73, 198), (74, 206).

Accepted Answer

A)  64.6 inches
B)  65.7 inches
C)  63.2 inches
D)  68.2 inches

Question 6

Evaluate the function as indicated.
-Find $ f(0) $ when $ f(x)=14 x+13 $.

Accepted Answer

A)   0
B)   14
C)   13
D)   27

Question 7

Solve the problem.
-Find the temperature at which the Celsius and Fahrenheit scales coincide.

Accepted Answer

A)  -25°
B)  0°
C)  -40°
D)  39°

Question 8

Find an equation in slope-intercept form (where possible) for the line.
-The line with y-intercept -10 and perpendicular to x + 2y = 4

Accepted Answer

A)    y=−2x−10 y=-2 x-10 y=−2x−10 
B)    y=−12x+1 y=-\frac{1}{2} x+1 y=−21​x+1 
C)    y=12x−10 y=\frac{1}{2} x-10 y=21​x−10 
D)    y=2x−10 y=2 x-10 y=2x−10

Question 9

Solve the problem.
-Northwest Molded molds plastic handles which cost $1.00 per handle to mold. The fixed cost to run the molding machine is $5616 per week. If the company sells the handles for $4.00 each, how many Handles must be molded weekly to break even?

Accepted Answer

A)  5616 handles
B)  1248 handles
C)  1872 handles
D)  1123 handles

Question 10

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (0,-4), \mathrm{m}=\frac{7}{3} $

Accepted Answer

A)    y=−73x+4 y=-\frac{7}{3} x+4 y=−37​x+4 
B)    y=73x+4 y=\frac{7}{3} x+4 y=37​x+4 
C)    y=−73x−4 y=-\frac{7}{3} x-4 y=−37​x−4 
D)    y=73x−4 y=\frac{7}{3} x-4 y=37​x−4

Question 11

Solve the problem.
-Let the demand and supply functions be represented by $ \mathrm{D}(\mathrm{p}) $ and $ \mathrm{S}(\mathrm{p}) $, where $ \mathrm{p} $ is the price in dollars. Find the equilibrium price and equilibrium quantity for the given functions.
$
\mathrm{D}(\mathrm{p})=134,750-250 \mathrm{p}
$
$ \mathrm{S}(\mathrm{p})=300 \mathrm{p} $

Accepted Answer

A)    $245;73,500 \$ 245 ; 73,500 $245;73,500 
B)    $449;22,500 \$ 449 ; 22,500 $449;22,500 
C)    $50;73,500 \$ 50 ; 73,500 $50;73,500 
D)    $50;122,250 \$ 50 ; 122,250 $50;122,250

Question 12

Find the slope of the line.

Accepted Answer

A)   undefined
B)    −2 -2 −2 
C)   0
D)   2

Question 13

Solve the problem.
-Suppose that the price and supply for a certain model of graphing calculator are related by $ \mathrm{p}=\mathrm{S}(\mathrm{q})=4 \mathrm{q} $, where $ \mathrm{p} $ is the price (in dollars) and $ \mathrm{q} $ is the supply (in hundreds) of calculators. Find the supply if the price is $ \$ 89 $. Round to the nearest whole number if necessary.

Accepted Answer

A)   1113 calculators
B)   2225 calculators
C)   556 calculators
D)   223 calculators

Question 14

Given the supply and demand functions below, find the price when the demand is $ 145 . $
$ S(p)=9 p+12 $
$ D(p)=280-9 p $

Accepted Answer

A)    $15 \$ 15 $15 
B)    $47 \$ 47 $47 
C)    $292 \$ 292 $292 
D)    $1317 \$ 1317 $1317

Question 15

Find the equation of the least squares line.
-Two different tests are designed to measure employee productivity and dexterity. Several employees of a company are randomly selected and asked to complete the tests. The results are Below.

Accepted Answer

A)    y=75.3−0.329x y=75.3-0.329 x y=75.3−0.329x 
B)    y=10.7+1.53x y=10.7+1.53 x y=10.7+1.53x 
C)    y=5.05+1.91x y=5.05+1.91 x y=5.05+1.91x 
D)    y=2.36+2.03x y=2.36+2.03 x y=2.36+2.03x

Question 16

John has been a teacher at West Side High School for the past 12 years. His salary during that time can be modeled by the linear equation y = 800x + 33,000 where x is the number of years since he began teaching at West Side and y is his salary in dollars. Explain what the slope, 800, represents in this context.

Accepted Answer

The answer of John has been a teacher at West...

Question 17

Write a cost function for the problem. Assume that the relationship is linear.
-A cable TV company charges $21 for the basic service plus $7 for each movie channel. Let C(x)be the total cost in dollars of subscribing to cable TV, using x movie channels.

Accepted Answer

A)  C(x) = 7x + 21
B)  C(x) = 21x + 7
C)  C(x) = 21x - 7
D)  C(x) = 7x - 21

Question 18

Evaluate the function as indicated.
-Find $ f(6.5) $ when $ f(x)=-2 x+8.8 $.

Accepted Answer

A)    −12.12 -12.12 −12.12 
B)    −21.8 -21.8 −21.8 
C)    −4.2 -4.2 −4.2 
D)    21.8 21.8 21.8

Question 19

Graph the equation.
-y = -6

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (8,-10) $, parallel to $ -5 x+3 y=-46 $

Accepted Answer

A)    y=−83x−463 y=-\frac{8}{3} x-\frac{46}{3} y=−38​x−346​ 
B)    y=−53x+703 y=-\frac{5}{3} x+\frac{70}{3} y=−35​x+370​ 
C)    y=53x−703 y=\frac{5}{3} x-\frac{70}{3} y=35​x−370​ 
D)    y=35x+2 y=\frac{3}{5} x+2 y=53​x+2

Exam 1: Linear Functions

Solve the problem. -Suppose the function y = 4t - 4.5 determines the actual time that has elapsed, in minutes, for t minutes of a person's estimate of the elapsed time. Find the actual time that has elapsed for an Estimate of t = 30 minutes.

Find the slope of the line. - $2 x+4 y=0$

Find the correlation coefficient. -Consider the data points with the following coordinates:

The total number of reported cases of AIDS in the United States has risen from 372 in 1981 to 100,000 in 1989 and 200,000 in 1992. Does a linear equation fit this data? Explain.

Evaluate the function as indicated. -Find $f(0)$ when $f(x) =14 x+13$ .

Solve the problem. -Find the temperature at which the Celsius and Fahrenheit scales coincide.

Find an equation in slope-intercept form (where possible) for the line. -The line with y-intercept -10 and perpendicular to x + 2y = 4

Solve the problem. -Northwest Molded molds plastic handles which cost $1.00 per handle to mold. The fixed cost to run the molding machine is $5616 per week. If the company sells the handles for $4.00 each, how many Handles must be molded weekly to break even?

Find an equation in slope-intercept form (where possible) for the line. -Through $(0,-4) , \mathrm{m}=\frac{7}{3}$

Find the slope of the line.

Given the supply and demand functions below, find the price when the demand is $145 .$ $S(p) =9 p+12$ $D(p) =280-9 p$

Find the equation of the least squares line. -Two different tests are designed to measure employee productivity and dexterity. Several employees of a company are randomly selected and asked to complete the tests. The results are Below.

Write a cost function for the problem. Assume that the relationship is linear. -A cable TV company charges $21 for the basic service plus $7 for each movie channel. Let C(x) be the total cost in dollars of subscribing to cable TV, using x movie channels.

Evaluate the function as indicated. -Find $f(6.5)$ when $f(x) =-2 x+8.8$ .

Graph the equation. -y = -6

Find an equation in slope-intercept form (where possible) for the line. -Through $(8,-10)$ , parallel to $-5 x+3 y=-46$

Exam 1: Linear Functions

Solve the problem. -Suppose the function y = 4t - 4.5 determines the actual time that has elapsed, in minutes, for t minutes of a person's estimate of the elapsed time. Find the actual time that has elapsed for an Estimate of t = 30 minutes.

Find the slope of the line. - 2x+4y=02 x+4 y=02x+4y=0

Find the correlation coefficient. -Consider the data points with the following coordinates:

The total number of reported cases of AIDS in the United States has risen from 372 in 1981 to 100,000 in 1989 and 200,000 in 1992. Does a linear equation fit this data? Explain.

Evaluate the function as indicated. -Find f(0) f(0) f(0) when f(x) =14x+13 f(x) =14 x+13 f(x) =14x+13 .

Solve the problem. -Find the temperature at which the Celsius and Fahrenheit scales coincide.

Find an equation in slope-intercept form (where possible) for the line. -The line with y-intercept -10 and perpendicular to x + 2y = 4

Solve the problem. -Northwest Molded molds plastic handles which cost $1.00 per handle to mold. The fixed cost to run the molding machine is $5616 per week. If the company sells the handles for $4.00 each, how many Handles must be molded weekly to break even?

Find an equation in slope-intercept form (where possible) for the line. -Through (0,−4) ,m=73 (0,-4) , \mathrm{m}=\frac{7}{3} (0,−4) ,m=37​

Find the slope of the line.

Given the supply and demand functions below, find the price when the demand is 145. 145 . 145. S(p) =9p+12 S(p) =9 p+12 S(p) =9p+12 D(p) =280−9p D(p) =280-9 p D(p) =280−9p

Find the equation of the least squares line. -Two different tests are designed to measure employee productivity and dexterity. Several employees of a company are randomly selected and asked to complete the tests. The results are Below.

Write a cost function for the problem. Assume that the relationship is linear. -A cable TV company charges $21 for the basic service plus $7 for each movie channel. Let C(x) be the total cost in dollars of subscribing to cable TV, using x movie channels.

Evaluate the function as indicated. -Find f(6.5) f(6.5) f(6.5) when f(x) =−2x+8.8 f(x) =-2 x+8.8 f(x) =−2x+8.8 .

Graph the equation. -y = -6

Find an equation in slope-intercept form (where possible) for the line. -Through (8,−10) (8,-10) (8,−10) , parallel to −5x+3y=−46 -5 x+3 y=-46 −5x+3y=−46

Find the slope of the line. - $2 x+4 y=0$

Evaluate the function as indicated. -Find $f(0)$ when $f(x) =14 x+13$ .

Find an equation in slope-intercept form (where possible) for the line. -Through $(0,-4) , \mathrm{m}=\frac{7}{3}$

Given the supply and demand functions below, find the price when the demand is $145 .$ $S(p) =9 p+12$ $D(p) =280-9 p$

Evaluate the function as indicated. -Find $f(6.5)$ when $f(x) =-2 x+8.8$ .

Find an equation in slope-intercept form (where possible) for the line. -Through $(8,-10)$ , parallel to $-5 x+3 y=-46$