Question 1

If the price of gas is $2.35 per gallon, then the cost of filling a car's tank with gas is directly proportional to the number of gallons of gas purchased.

Accepted Answer

A) True 
 B)False

Question 2

Which one of the following graphs illustrates the equation   ?

Accepted Answer

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

Question 3

If the gym charges $75 per month for a membership plus $35 initiation fee, then the cost of the gym's monthly membership is directly proportional to the number of months the membership is active.

Accepted Answer

A) True 
 B)False

Question 4

Casey and Mark are running a race at constant speeds. The graph below shows the distance d (in miles) they have traveled since they started the race at time t (in minutes). Which one of the following statements is true?

Accepted Answer

A)  Not enough information 
B)  Mark is running faster than Casey. 
C)  Casey is running at 0.23 mph, while Mark is running at 0.31 mph. 
D)  Casey is running at 4.3 mph, while Mark is running at 3.2 mph. 
E)  Casey and Mark are both traveling at the same constant speed. 
A)  Not enough information 
B)  Mark is running faster than Casey. 
C)  Casey is running at 0.23 mph, while Mark is running at 0.31 mph. 
D)  Casey is running at 4.3 mph, while Mark is running at 3.2 mph. 
E)  Casey and Mark are both traveling at the same constant speed.

Question 5

Find the value of x that satisfies the equation   when   . (Rounded to the nearest hundredth)

Accepted Answer

A)  285.00 
B)  -55.00 
C)  11.00 
D)  2.38 
E)  3.00 
A)  285.00 
B)  -55.00 
C)  11.00 
D)  2.38 
E)  3.00

Question 6

The owner of a gas station records the number of gallons of gas he sells over a period of time. He notices that the number of gallons of gas he sells depends linearly on the price he charges for each gallon. When he charges $1.67 per gallon of gas, he sells 1000 gallons of gas each day. When he charges $2.49 per gallon, he sells 600 gallons. Which one of the following equations model the number of gallons sold at price x ?

Accepted Answer

A)  y = 1,814.63 -488 x 
B)    
C)    
D)    
E)    
A)  y = 1,814.63 -488 x 
B)    
C)    
D)    
E)

Question 7

The y -intercept of the function   is   .

Accepted Answer

A) True 
 B)False

Question 8

A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by   . What is the beanstalk s initial height?

Accepted Answer

A)  5.5 inches 
B)  5 inches 
C)  0.5 inches 
D)  0 inches 
E)  Not enough information 
A)  5.5 inches 
B)  5 inches 
C)  0.5 inches 
D)  0 inches 
E)  Not enough information

Question 9

Find the value of x that satisfies the equation   when   .

Accepted Answer

A)  23 
B)    
C)  33 
D)    
E)  -78 
A)  23 
B)    
C)  33 
D)    
E)  -78

Question 10

c is directly proportional to r . If   , then   . Find the constant of proportionality. (Rounded to the nearest hundredth)

Accepted Answer

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

If the price of gas is $2.35 per gallon, then the cost of filling a car's tank with gas is directly proportional to the number of gallons of gas purchased.

Which one of the following graphs illustrates the equation ?

If the gym charges $75 per month for a membership plus $35 initiation fee, then the cost of the gym's monthly membership is directly proportional to the number of months the membership is active.

Casey and Mark are running a race at constant speeds. The graph below shows the distance d (in miles) they have traveled since they started the race at time t (in minutes). Which one of the following statements is true?

Find the value of x that satisfies the equation when . (Rounded to the nearest hundredth)

The y -intercept of the function is .

A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by . What is the beanstalk s initial height?

Find the value of x that satisfies the equation when .

c is directly proportional to r . If , then . Find the constant of proportionality. (Rounded to the nearest hundredth)

Data, 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 2: Linear Functions and Models

If the price of gas is $2.35 per gallon, then the cost of filling a car's tank with gas is directly proportional to the number of gallons of gas purchased.

Which one of the following graphs illustrates the equation ?

If the gym charges $75 per month for a membership plus $35 initiation fee, then the cost of the gym's monthly membership is directly proportional to the number of months the membership is active.

Casey and Mark are running a race at constant speeds. The graph below shows the distance d (in miles) they have traveled since they started the race at time t (in minutes). Which one of the following statements is true?

Find the value of x that satisfies the equation when . (Rounded to the nearest hundredth)

The y -intercept of the function is .

A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by . What is the beanstalk s initial height?

Find the value of x that satisfies the equation when .

c is directly proportional to r . If , then . Find the constant of proportionality. (Rounded to the nearest hundredth)

Data, 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