Exam 1: Functions, Graphs, and Models; Linear Functions

It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond using a certain bait is $f ( t ) = 0.28 t + 1 , \text { for } t > 10$ nd and interpret f(11). Round your answer to the nearest whole Number.

(Multiple Choice)

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Question 201

Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 785. Find a linear function, S(t), which fits this data, And which expresses score as a function of time. Use this function to predict an average score for persons taking A 56-hour review course. Round your answer to the tenths place.

(Multiple Choice)

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Question 202

Find the average rate of change from (-2,6) to (1,-3) .

(Multiple Choice)

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Question 203

Graph the function with a graphing utility. - $y=x^{2}+3$ $Graph the function with a graphing utility. - y=x^{2}+3$

(Multiple Choice)

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Question 204

Decide if the function is linear. - $y = \frac { x } { 8 } + 2$

(Multiple Choice)

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Question 205

$y = - 3 x ^ { 2 } - x$ between x=5 and x=6

(Multiple Choice)

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Question 206

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - $( - 7,10 ) ; m = 0$

(Multiple Choice)

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Question 207

A store takes inventory of a popular clock at the end of each business day. The table below shows the number of clocks in stock during a 5-day period in which no new clocks were received from the distributor. What are the domain And range of the function described by the table? Day \# of clocks 1 23 2 16 3 12 4 11 5 7

(Multiple Choice)

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Question 208

Graph the scatter plot of the data. -Suppose the sales of a particular brand of appliance are modeled by the linear function $S ( x ) = 50 x + 300$ , where $S ( x )$ represents the number of sales in year $x$ , with $x = 0$ corresponding to 2002 . Use this model to predict the number of sales in 2017 .

(Multiple Choice)

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Question 209

. Use the slope and either of the two points in the point-slope form of the equation. -Give a definition of the slope-intercept form of an equation for a line.

(Essay)

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Question 210

Use a graphing utility to graph the function and then answer the question. -The polynomial function $I ( t ) = - 0.1 t ^ { 2 } + 1.3 t$ represents the yearly income (or loss) from a real estate investment, where t is time in years. After what year does income begin to decline?

(Multiple Choice)

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Question 211

A box is to be made from a rectangular piece of cardboard by cutting a square from each corner and folding up the sides. The rectangular piece of cardboard is originally 28 inches long and 54 inches wide, and the squares Removed from the corners are x inches wide. The volume of the box is given by the function $V = x ( 28 - 2 x ) ( 54 - 2 x )$ What restrictions must be placed on x to satisfy the conditions of this model? In other Words, what is the domain of this function?

(Multiple Choice)

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Question 212

This chart shows the fees for an 18-hole round of golf for each of the last 5 years at a local municipal golf course. Assume that this chart defines a function with the name of f. State the range of f. Year Fee 2008 \ 22 2009 \ 23 2010 \ 25 2011 \ 25 2012 \ 27

(Multiple Choice)

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Question 213

The function F described by F(C)= $\frac { 9 } { 5 }$ C+32 gives the Fahrenheit temperature corresponding to the Celsius temperature C . Find and interpret F(-20) .

(Multiple Choice)

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Question 214

The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that approximates the data, using the points (16.5, 16)1) and (20.0, 18.3). List Price Dealer Invoice Price 16.5 16.1 17.6 17.0 20.7 18.2 23.1 19.3 20.0 18.3 24.6 21.0

(Multiple Choice)

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Question 215

The function P(d)= $1 + \frac { d } { 33 }$ gives the pressure, in atmospheres ( atm ) , at a depth d feet in the sea. Find and interpret P(47) . Do not round your answer.

(Multiple Choice)

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Question 216

. Use the slope and either of the two points in the point-slope form of the equation. -Describe a situation in which the point-slope form would be more useful than the slope-intercept form.

(Essay)

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Question 217

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $3 x - 9 y = - 18$

(Multiple Choice)

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Question 218

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - $( 4 , - 3 ) ; m = - 9$

(Multiple Choice)

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Question 219

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( 9,5 )$ and $( 0 , - 3 )$

(Multiple Choice)

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Question 220

It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond using a certain bait is $f ( t ) = 0.28 t + 1 , \text { for } t > 10$ nd and interpret f(11). Round your answer to the nearest whole Number.

Find the average rate of change from (-2,6) to (1,-3) .

Graph the function with a graphing utility. - $y=x^{2}+3$ $Graph the function with a graphing utility. - y=x^{2}+3$

Decide if the function is linear. - $y = \frac { x } { 8 } + 2$

$y = - 3 x ^ { 2 } - x$ between x=5 and x=6

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - $( - 7,10 ) ; m = 0$

. Use the slope and either of the two points in the point-slope form of the equation. -Give a definition of the slope-intercept form of an equation for a line.

Use a graphing utility to graph the function and then answer the question. -The polynomial function $I ( t ) = - 0.1 t ^ { 2 } + 1.3 t$ represents the yearly income (or loss) from a real estate investment, where t is time in years. After what year does income begin to decline?

This chart shows the fees for an 18-hole round of golf for each of the last 5 years at a local municipal golf course. Assume that this chart defines a function with the name of f. State the range of f. Year Fee 2008 \ 22 2009 \ 23 2010 \ 25 2011 \ 25 2012 \ 27

The function F described by F(C)= $\frac { 9 } { 5 }$ C+32 gives the Fahrenheit temperature corresponding to the Celsius temperature C . Find and interpret F(-20) .

The function P(d)= $1 + \frac { d } { 33 }$ gives the pressure, in atmospheres ( atm ) , at a depth d feet in the sea. Find and interpret P(47) . Do not round your answer.

. Use the slope and either of the two points in the point-slope form of the equation. -Describe a situation in which the point-slope form would be more useful than the slope-intercept form.

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $3 x - 9 y = - 18$

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - $( 4 , - 3 ) ; m = - 9$

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( 9,5 )$ and $( 0 , - 3 )$

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Exam 1: Functions, Graphs, and Models; Linear Functions

It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond using a certain bait is f(t)=0.28t+1, for t>10f ( t ) = 0.28 t + 1 , \text { for } t > 10f(t)=0.28t+1, for t>10 nd and interpret f(11). Round your answer to the nearest whole Number.

Find the average rate of change from (-2,6) to (1,-3) .

Graph the function with a graphing utility. - y=x2+3y=x^{2}+3y=x2+3

Decide if the function is linear. - y=x8+2y = \frac { x } { 8 } + 2y=8x​+2

y=−3x2−xy = - 3 x ^ { 2 } - xy=−3x2−x between x=5 and x=6

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - (−7,10);m=0( - 7,10 ) ; m = 0(−7,10);m=0

. Use the slope and either of the two points in the point-slope form of the equation. -Give a definition of the slope-intercept form of an equation for a line.

This chart shows the fees for an 18-hole round of golf for each of the last 5 years at a local municipal golf course. Assume that this chart defines a function with the name of f. State the range of f. Year Fee 2008 \ 22 2009 \ 23 2010 \ 25 2011 \ 25 2012 \ 27

The function F described by F(C)= 95\frac { 9 } { 5 }59​ C+32 gives the Fahrenheit temperature corresponding to the Celsius temperature C . Find and interpret F(-20) .

The function P(d)= 1+d331 + \frac { d } { 33 }1+33d​ gives the pressure, in atmospheres ( atm ) , at a depth d feet in the sea. Find and interpret P(47) . Do not round your answer.

. Use the slope and either of the two points in the point-slope form of the equation. -Describe a situation in which the point-slope form would be more useful than the slope-intercept form.

Find the slope of the line (if it exists) and the y-intercept (if it exists). - 3x−9y=−183 x - 9 y = - 183x−9y=−18

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - (4,−3);m=−9( 4 , - 3 ) ; m = - 9(4,−3);m=−9

Write the slope-intercept form of the equation for the line passing through the given pair of points. - (9,5)( 9,5 )(9,5) and (0,−3)( 0 , - 3 )(0,−3)

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond using a certain bait is $f ( t ) = 0.28 t + 1 , \text { for } t > 10$ nd and interpret f(11). Round your answer to the nearest whole Number.

Graph the function with a graphing utility. - $y=x^{2}+3$ $Graph the function with a graphing utility. - y=x^{2}+3$

Decide if the function is linear. - $y = \frac { x } { 8 } + 2$

$y = - 3 x ^ { 2 } - x$ between x=5 and x=6

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - $( - 7,10 ) ; m = 0$

The function F described by F(C)= $\frac { 9 } { 5 }$ C+32 gives the Fahrenheit temperature corresponding to the Celsius temperature C . Find and interpret F(-20) .

The function P(d)= $1 + \frac { d } { 33 }$ gives the pressure, in atmospheres ( atm ) , at a depth d feet in the sea. Find and interpret P(47) . Do not round your answer.

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $3 x - 9 y = - 18$

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - $( 4 , - 3 ) ; m = - 9$

Write the slope-intercept form of the equation for the line passing through the given pair of points. - $( 9,5 )$ and $( 0 , - 3 )$