Question 1

Which one of the following graphs represent the function:

Accepted Answer

A)    
B)    
C)  None of these options. 
D)    
E)    
A)    
B)    
C)  None of these options. 
D)    
E)

Question 2

Which one of the following represents the graph of   ?

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Question 3

A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by h(t) =   16 t   + 48 t + 111. What is the meaning of h (2)?

Accepted Answer

A)  After 2 seconds, the height of the ball is 175 feet above ground. 
B)  After 2 seconds, the height of the ball is 143 feet above ground. 
C)  After 2 seconds, the height of the ball is 111 feet above ground. 
D)  After 2 seconds, the height of the ball is 32 feet above ground. 
E)  After 2 seconds, the height of the ball is 817 feet above ground. 
A)  After 2 seconds, the height of the ball is 175 feet above ground. 
B)  After 2 seconds, the height of the ball is 143 feet above ground. 
C)  After 2 seconds, the height of the ball is 111 feet above ground. 
D)  After 2 seconds, the height of the ball is 32 feet above ground. 
E)  After 2 seconds, the height of the ball is 817 feet above ground.

Question 4

If the temperatures over a 12-hour period in Phoenix, Arizona were 76, 81, 90, 98, 101, 106, 100, 98, 93, 83, 72, and 75, what was the median temperature during this time period?

Accepted Answer

A)  90 
B)  100 
C)  106 
D)  93 
E)  91.5 
A)  90 
B)  100 
C)  106 
D)  93 
E)  91.5

Question 5

The price per gallon of gas at various gas stations around town is listed in the table below. What is the median price per gallon? (Rounded to the nearest hundredth)

Accepted Answer

A)  $2.88 
B)  $2.78 
C)  $3.02 
D)  $2.42 
E)  $2.56 
A)  $2.88 
B)  $2.78 
C)  $3.02 
D)  $2.42 
E)  $2.56

Question 6

If your quiz scores for MAT 101 are 85, 92, 75, 100, and 69, what is your quiz average?

Accepted Answer

A)  421 
B)  84.2 
C)  4.21 
D)  75 
E)  105.25 
A)  421 
B)  84.2 
C)  4.21 
D)  75 
E)  105.25

Question 7

Given the table below, find the net change in the variable y as x changes from 1 to 4?

Accepted Answer

A)  8 
B)  7 
C)  6 
D)  9 
E)  0 
A)  8 
B)  7 
C)  6 
D)  9 
E)  0

Question 8

Find a formula that models the speed s of a car that travels d miles in t minutes.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

For the scatter plot below, which statement describes the relationship between the variables?

Accepted Answer

A)  As the time increases, the temperature increases. 
B)  As the time increases, the temperature decreases. 
C)  As the time decreases, the temperature stays constant. 
D)  There is no relationship between the variables. 
E)  As the time decreases, the temperature decreases. 
A)  As the time increases, the temperature increases. 
B)  As the time increases, the temperature decreases. 
C)  As the time decreases, the temperature stays constant. 
D)  There is no relationship between the variables. 
E)  As the time decreases, the temperature decreases.

Question 10

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. How did the population of rabbits change between day 3 and day 20?

Accepted Answer

A)  The population of rabbits increased from approximately 5 rabbits to 83 rabbits. 
B)  The population of rabbits decreased from approximately 83 rabbits to 5 rabbits. 
C)  The population of rabbits increased from approximately 5 rabbits to 61 rabbits. 
D)  The population of rabbits was constant during this time period. 
E)  The population of rabbits decreased from approximately 61 rabbits to 5 rabbits. 
A)  The population of rabbits increased from approximately 5 rabbits to 83 rabbits. 
B)  The population of rabbits decreased from approximately 83 rabbits to 5 rabbits. 
C)  The population of rabbits increased from approximately 5 rabbits to 61 rabbits. 
D)  The population of rabbits was constant during this time period. 
E)  The population of rabbits decreased from approximately 61 rabbits to 5 rabbits.

Question 11

Determine the domain and range of the function represented by the graph.

Accepted Answer

A)  Domain:   ; Range:   
B)  Domain:   ; Range:   
C)  Domain:   ; Range:   
D)  Domain:   ; Range:   
E)  Domain:   ; Range:   
A)  Domain:   ; Range:   
B)  Domain:   ; Range:   
C)  Domain:   ; Range:   
D)  Domain:   ; Range:   
E)  Domain:   ; Range:

Question 12

Find a function that models the area A of a rectangle whose length is 9 ft more than twice its width x .

Accepted Answer

A)  A(x) = x (9 + 2 x ) 
B)  A(x) = x (9 x + 2) 
C)  A(x) = (9 + 2) x 
D)  A(x) = x (9 + x ) 
E)  A(x) = 9 + 2 x 
A)  A(x) = x (9 + 2 x ) 
B)  A(x) = x (9 x + 2) 
C)  A(x) = (9 + 2) x 
D)  A(x) = x (9 + x ) 
E)  A(x) = 9 + 2 x

Question 13

A variable y is a function of a variable x if each value of x (the input) corresponds to exactly one value of y (the output).

Accepted Answer

A) True 
 B)False

Question 14

The resistance R of a wire (in ohms) is related to its length L (in meters) and its diameter d (in meters) by the formula   . Find a formula for d .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

The value V of a historic vehicle can be modeled by V = 52500 + 2075 t where t represents the age of the vehicle above 35 years. What is the value of the vehicle when it is 50 years old?

Accepted Answer

A)  $52500 
B)  $125125 
C)  $83625 
D)  $156250 
E)  $21375 
A)  $52500 
B)  $125125 
C)  $83625 
D)  $156250 
E)  $21375

Question 16

Find the output(s) corresponding to the input of 30.

Accepted Answer

A)  10 
B)  0 
C)  30 
D)  5 
E)  55 
A)  10 
B)  0 
C)  30 
D)  5 
E)  55

Question 17

Does the equation 3 x - 5 y = 4 define the variable y as a function of the variable x ?

Accepted Answer

A) True 
 B)False

Question 18

A membership to a local fitness club costs $29 per month. The membership includes 10 hours of use of the club. If you want to use the club more than 10 hours per month, it will cost an additional $1.55 per hour. Which of the following functions model this situation?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

The temperature (in ° F) of a town is taken at the beginning of each hour throughout one day starting at 5 a.m. Let T be the function defined by T(x) = temperature of the town at time x . Which one of the following graphs represents this scenario?

Accepted Answer

A)    
B)  Not enough information 
C)    
D)    
E)    
A)    
B)  Not enough information 
C)    
D)    
E)

Question 20

Find the domain and range of the relation   .

Accepted Answer

A)  Domain:   ; Range:   
B)  Domain:   ; Range:   
C)  Domain:   ; Range:   
D)  Domain:   ; Range:   
E)  Domain:   ; Range:   
A)  Domain:   ; Range:   
B)  Domain:   ; Range:   
C)  Domain:   ; Range:   
D)  Domain:   ; Range:   
E)  Domain:   ; Range:

Which one of the following graphs represent the function:

Which one of the following represents the graph of ?

A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by h(t) = 16 t + 48 t + 111. What is the meaning of h (2)?

If the temperatures over a 12-hour period in Phoenix, Arizona were 76, 81, 90, 98, 101, 106, 100, 98, 93, 83, 72, and 75, what was the median temperature during this time period?

The price per gallon of gas at various gas stations around town is listed in the table below. What is the median price per gallon? (Rounded to the nearest hundredth)

If your quiz scores for MAT 101 are 85, 92, 75, 100, and 69, what is your quiz average?

Given the table below, find the net change in the variable y as x changes from 1 to 4?

Find a formula that models the speed s of a car that travels d miles in t minutes.

For the scatter plot below, which statement describes the relationship between the variables?

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. How did the population of rabbits change between day 3 and day 20?

Determine the domain and range of the function represented by the graph.

Find a function that models the area A of a rectangle whose length is 9 ft more than twice its width x .

A variable y is a function of a variable x if each value of x (the input) corresponds to exactly one value of y (the output).

The resistance R of a wire (in ohms) is related to its length L (in meters) and its diameter d (in meters) by the formula . Find a formula for d .

The value V of a historic vehicle can be modeled by V = 52500 + 2075 t where t represents the age of the vehicle above 35 years. What is the value of the vehicle when it is 50 years old?

Find the output(s) corresponding to the input of 30.

Does the equation 3 x - 5 y = 4 define the variable y as a function of the variable x ?

A membership to a local fitness club costs $29 per month. The membership includes 10 hours of use of the club. If you want to use the club more than 10 hours per month, it will cost an additional $1.55 per hour. Which of the following functions model this situation?

The temperature (in ° F) of a town is taken at the beginning of each hour throughout one day starting at 5 a.m. Let T be the function defined by T(x) = temperature of the town at time x . Which one of the following graphs represents this scenario?

Find the domain and range of the relation .

Linear Functions and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

Filters

Exam 1: Data, Functions, and Models

Which one of the following graphs represent the function:

Which one of the following represents the graph of ?

A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by h(t) = 16 t + 48 t + 111. What is the meaning of h (2)?

If the temperatures over a 12-hour period in Phoenix, Arizona were 76, 81, 90, 98, 101, 106, 100, 98, 93, 83, 72, and 75, what was the median temperature during this time period?

The price per gallon of gas at various gas stations around town is listed in the table below. What is the median price per gallon? (Rounded to the nearest hundredth)

If your quiz scores for MAT 101 are 85, 92, 75, 100, and 69, what is your quiz average?

Given the table below, find the net change in the variable y as x changes from 1 to 4?

Find a formula that models the speed s of a car that travels d miles in t minutes.

For the scatter plot below, which statement describes the relationship between the variables?

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. How did the population of rabbits change between day 3 and day 20?

Determine the domain and range of the function represented by the graph.

Find a function that models the area A of a rectangle whose length is 9 ft more than twice its width x .

A variable y is a function of a variable x if each value of x (the input) corresponds to exactly one value of y (the output).

The resistance R of a wire (in ohms) is related to its length L (in meters) and its diameter d (in meters) by the formula . Find a formula for d .

The value V of a historic vehicle can be modeled by V = 52500 + 2075 t where t represents the age of the vehicle above 35 years. What is the value of the vehicle when it is 50 years old?

Find the output(s) corresponding to the input of 30.

Does the equation 3 x - 5 y = 4 define the variable y as a function of the variable x ?

A membership to a local fitness club costs $29 per month. The membership includes 10 hours of use of the club. If you want to use the club more than 10 hours per month, it will cost an additional $1.55 per hour. Which of the following functions model this situation?

The temperature (in ° F) of a town is taken at the beginning of each hour throughout one day starting at 5 a.m. Let T be the function defined by T(x) = temperature of the town at time x . Which one of the following graphs represents this scenario?

Find the domain and range of the relation .

Linear Functions and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

Filters