NC Math 1 Unit 5 Review

The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function.

Identify the independent variable and the dependent variable in this function.

• cost of parking is the independent variable and time a car is parked is the dependent variable

• cost of parking is the dependent variable and time a car is parked is the independent variable

The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function.

Describe the function with a sentence of the form "____ is a function of ____."

• The parking cost is a function of the amount of time a car is parked.

• The amount of time a car is parked is a function of the parking cost.

The height of water in a bathtub, w, is a function of time, t. Let P represent this function. Height is measured in inches and time in minutes. Match the statement in function notation with a description.

P(4) = 10

• After 20 minutes, the bathtub is empty.

• The bathtub starts out with no water.

• After 10 minutes, the height of the water is 4 inches.

• The height of the water is 10 inches after 4 minutes.

The height of water in a bathtub, w, is a function of time, t. Let P represent this function. Height is measured in inches and time in minutes. Match the statement in function notation with a description.

P(10) = 4

• After 20 minutes, the bathtub is empty.

• The bathtub starts out with no water.

• After 10 minutes, the height of the water is 4 inches.

• The height of the water is 10 inches after 4 minutes.

Function C gives the cost, in dollars, of buying apples. What does C(5) = 4.5 represent in this situation?

Evaluate responses using AI:

OFF

Answer explanation

Ans:

Five apples cost $4.50.

Function C gives the cost, in dollars, of buying apples. What does C(2) represent in this situation?

Evaluate responses using AI:

OFF

Answer explanation

Ans:

The cost of 2 apples.

Function f gives the temperature, in degrees Celsius, t hours after midnight. 

Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.”

• f(1:30) = 20

• f(1.5) = 20

• f(13:30) = 20

• f(13.5) = 20

Function f gives the temperature, in degrees Celsius, t hours after midnight. 

Use function notation to write an equation or expression for each statement.

The temperature at 12 p.m.

Evaluate responses using AI:

OFF

Answer explanation

Ans:

f(12)

Function f gives the temperature, in degrees Celsius, t hours after midnight. 

Use function notation to write an equation or expression for each statement.

The temperature was the same at 9 a.m. and at 4 p.m.

Evaluate responses using AI:

OFF

Answer explanation

Ans:

f(9) = f(16)

Select all points that are on the graph of if we know that f(2) = -4 and f(5) = 3.4.

• (-4,2)

• (2,-4)

• (3.4 ,5)

• (5, 3.4)

• (2,5)