Question 1

Given the table below, find the net change in the variable y as x changes from 2 to 4?

Accepted Answer

A)  -9 
B)  2 
C)  9 
D)  6 
E)  -3 
A)  -9 
B)  2 
C)  9 
D)  6 
E)  -3

Question 2

A membership to a local fitness club costs $59 per month plus $1.15 for each hour spent in the club. Find a linear model for the monthly cost of membership C(x) as a function of the number of hours x spent in the club.

Accepted Answer

A)  C(x) = 59 x + 1.15 
B)  C(x) = 1.15 x 
C)  C(x) = 59 x 
D)  C(x) = 59 + 1.15 x 
E)  C(x) = (59 + 1.15 )x 
A)  C(x) = 59 x + 1.15 
B)  C(x) = 1.15 x 
C)  C(x) = 59 x 
D)  C(x) = 59 + 1.15 x 
E)  C(x) = (59 + 1.15 )x

Question 3

The number of gallons of water remaining in a pool t hours after it began to drain is illustrated in the table below.
 
What is the initial number of gallons of water in the pool before it began to drain?

Accepted Answer

A)  19500 
B)  22000 
C)  14500 
D)  17000 
E)  12000 
A)  19500 
B)  22000 
C)  14500 
D)  17000 
E)  12000

Question 4

Consider the function f(x) = 4 x   7. What is the name of the function? What is the input? What is the output?

Accepted Answer

A)  Name: f ; Input: x ; Output: 4 x   7 
B)  Name: f(x) ; Input: x ; Output: 4 x   7 
C)  Name: f(x) ; Input: 4 x   7; Output: x 
D)  Name: f(x) ; Input: x ; Output: f 
E)  Name: f ; Input: 4 x   7; Output: x 
A)  Name: f ; Input: x ; Output: 4 x   7 
B)  Name: f(x) ; Input: x ; Output: 4 x   7 
C)  Name: f(x) ; Input: 4 x   7; Output: x 
D)  Name: f(x) ; Input: x ; Output: f 
E)  Name: f ; Input: 4 x   7; Output: x

Question 5

The table below describes the average temperatures for Portland, OR during a given year. What month had the lowest temperature?

Accepted Answer

A)  January 
B)  November 
C)  March 
D)  February 
E)  December 
A)  January 
B)  November 
C)  March 
D)  February 
E)  December

Question 6

The amount of an investment A after 36 months can be modeled by the formula   where P is the initial investment amount and r % is the interest rate. If Marcus invests $2000 in this account with an interest rate of 3.7500%, how much money will be in the account at the end of 36 months? (Rounded to the nearest hundredths)

Accepted Answer

A)  $7,526.65 
B)  $2,006.25 
C)  $2000 
D)  $72,225.00 
E)  $2,237.75 
A)  $7,526.65 
B)  $2,006.25 
C)  $2000 
D)  $72,225.00 
E)  $2,237.75

Question 7

The set of all possible inputs is called the domain of the function.

Accepted Answer

A) True 
 B)False

Question 8

The table below shows the salary values for a job based on the number of years x worked. Find a linear model for the salary value S(x) as a function of the number of years x worked.

Accepted Answer

A)  S(x) = 3000 x 
B)  S(x) = 36000 + 1000 x 
C)  S(x) = 1000 x 
D)  S(x) = 36000 + 3000 x 
E)  S(x) = 33000 + 1000 x 
A)  S(x) = 3000 x 
B)  S(x) = 36000 + 1000 x 
C)  S(x) = 1000 x 
D)  S(x) = 36000 + 3000 x 
E)  S(x) = 33000 + 1000 x

Question 9

Solve the equation   for   .

Accepted Answer

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

Question 10

The mass of bacteria (in micrograms) in a Petri dish for different times is shown in the table below. What is the mass of the bacteria (in mcg) at 9:30 am?

Accepted Answer

A)  61.89 
B)  75.79 
C)  50.60 
D)  1.5 
E)  31.08 
A)  61.89 
B)  75.79 
C)  50.60 
D)  1.5 
E)  31.08

Question 11

Given the data below, how can you determine if the set of data has a linear model?

Accepted Answer

A)  By verifying that the salary values increases when the number of years increases. 
B)  Not enough information 
C)  By verifying that the first differences of the salary values are constant for successive increases in the number of years. 
D)  By verifying that the salary increases by the same amount. 
E)  By verifying that the number of years increases by the same amount. 
A)  By verifying that the salary values increases when the number of years increases. 
B)  Not enough information 
C)  By verifying that the first differences of the salary values are constant for successive increases in the number of years. 
D)  By verifying that the salary increases by the same amount. 
E)  By verifying that the number of years increases by the same amount.

Question 12

The number of gallons of water remaining in a pool t hours after it began to drain is illustrated in the table below.
 
Which one of the following models this data?

Accepted Answer

A)  N = 1750   350 t 
B)  N = 22500 + 1750 t 
C)  N = 22500 + 350 t 
D)  N = 22500   350 t 
E)  N = 22500   1750 t 
A)  N = 1750   350 t 
B)  N = 22500 + 1750 t 
C)  N = 22500 + 350 t 
D)  N = 22500   350 t 
E)  N = 22500   1750 t

Question 13

Find the domain of   .

Accepted Answer

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

Question 14

If the temperatures over a 12-hour period in Phoenix, Arizona were 72, 83, 91, 90, 103, 102, 98, 96, 93, 82, 80, and 72, what was the average temperature during this time period? (Round to the nearest degree)

Accepted Answer

A)  91 
B)  72 
C)  96 
D)  89 
E)  1062 
A)  91 
B)  72 
C)  96 
D)  89 
E)  1062

Question 15

For the function   , find the local minimum value of f .

Accepted Answer

A)  -0.6 
B)  -0.185 
C)  -1 
D)  1 
E)  1.6 
A)  -0.6 
B)  -0.185 
C)  -1 
D)  1 
E)  1.6

Question 16

The table below illustrates a set of data for a function.

Accepted Answer

A) True 
 B)False

Question 17

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. What was the maximum number of rabbits during this time period?

Accepted Answer

A)  61 
B)  49 
C)  38 
D)  15 
E)  83 
A)  61 
B)  49 
C)  38 
D)  15 
E)  83

Question 18

The verbal description below can be represented algebraically by which one of the following equations?
"To find the sales tax, take 7.5% of the purchase price."

Accepted Answer

A)  y = 7.5 x, where y represents the sales tax and x represents the purchase price. 
B)  x = 0.075 y, where x represents the sales tax and y represents the purchase price. 
C)  y = 0.075 + x , where y represents the sales tax and x represents the purchase price. 
D)  y = 0.075 x, where y represents the sales tax and x represents the purchase price. 
E)  y = 7.5 + x, where y represents the sales tax and x represents the purchase price. 
A)  y = 7.5 x, where y represents the sales tax and x represents the purchase price. 
B)  x = 0.075 y, where x represents the sales tax and y represents the purchase price. 
C)  y = 0.075 + x , where y represents the sales tax and x represents the purchase price. 
D)  y = 0.075 x, where y represents the sales tax and x represents the purchase price. 
E)  y = 7.5 + x, where y represents the sales tax and x represents the purchase price.

Question 19

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

Accepted Answer

A) True 
 B)False

Question 20

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. Find the net change in the height of the ball from time t = 1 seconds to t = 4 seconds.

Accepted Answer

A)  96 feet 
B)  47 feet 
C)  -143 feet 
D)  -96 feet 
E)  3 feet 
A)  96 feet 
B)  47 feet 
C)  -143 feet 
D)  -96 feet 
E)  3 feet

Given the table below, find the net change in the variable y as x changes from 2 to 4?

A membership to a local fitness club costs $59 per month plus $1.15 for each hour spent in the club. Find a linear model for the monthly cost of membership C(x) as a function of the number of hours x spent in the club.

The number of gallons of water remaining in a pool t hours after it began to drain is illustrated in the table below. What is the initial number of gallons of water in the pool before it began to drain?

Consider the function f(x) = 4 x 7. What is the name of the function? What is the input? What is the output?

The table below describes the average temperatures for Portland, OR during a given year. What month had the lowest temperature?

The set of all possible inputs is called the domain of the function.

The table below shows the salary values for a job based on the number of years x worked. Find a linear model for the salary value S(x) as a function of the number of years x worked.

Solve the equation for .

The mass of bacteria (in micrograms) in a Petri dish for different times is shown in the table below. What is the mass of the bacteria (in mcg) at 9:30 am?

Given the data below, how can you determine if the set of data has a linear model?

The number of gallons of water remaining in a pool t hours after it began to drain is illustrated in the table below. Which one of the following models this data?

Find the domain of .

If the temperatures over a 12-hour period in Phoenix, Arizona were 72, 83, 91, 90, 103, 102, 98, 96, 93, 82, 80, and 72, what was the average temperature during this time period? (Round to the nearest degree)

For the function , find the local minimum value of f .

The table below illustrates a set of data for a function.

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. What was the maximum number of rabbits during this time period?

The verbal description below can be represented algebraically by which one of the following equations? "To find the sales tax, take 7.5% of the purchase price."

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

Linear Functions and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

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Exam 1: Data, Functions, and Models

Given the table below, find the net change in the variable y as x changes from 2 to 4?

A membership to a local fitness club costs $59 per month plus $1.15 for each hour spent in the club. Find a linear model for the monthly cost of membership C(x) as a function of the number of hours x spent in the club.

The number of gallons of water remaining in a pool t hours after it began to drain is illustrated in the table below. What is the initial number of gallons of water in the pool before it began to drain?

Consider the function f(x) = 4 x 7. What is the name of the function? What is the input? What is the output?

The table below describes the average temperatures for Portland, OR during a given year. What month had the lowest temperature?

The set of all possible inputs is called the domain of the function.

The table below shows the salary values for a job based on the number of years x worked. Find a linear model for the salary value S(x) as a function of the number of years x worked.

Solve the equation for .

The mass of bacteria (in micrograms) in a Petri dish for different times is shown in the table below. What is the mass of the bacteria (in mcg) at 9:30 am?

Given the data below, how can you determine if the set of data has a linear model?

The number of gallons of water remaining in a pool t hours after it began to drain is illustrated in the table below. Which one of the following models this data?

Find the domain of .

If the temperatures over a 12-hour period in Phoenix, Arizona were 72, 83, 91, 90, 103, 102, 98, 96, 93, 82, 80, and 72, what was the average temperature during this time period? (Round to the nearest degree)

For the function , find the local minimum value of f .

The table below illustrates a set of data for a function.

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. What was the maximum number of rabbits during this time period?

The verbal description below can be represented algebraically by which one of the following equations? "To find the sales tax, take 7.5% of the purchase price."

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

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