Unit 4 Lessons 1-5

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. Which statements about the function are true? Select all that apply.

• The point (3,9) means that it costs $9 to park for 3 hours.

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

• The point (3,9) means that it costs $3 to park for 9 hours.

• The cost of parking is the dependent variable

• The cost of parking is the independent variable

The prices of different burgers are shown on this sign.

Based on the information from the menu, is the price of a burger a function of the number of patties?

• Yes. There is only one possible price for two patties, which means one output for the same input.

• Yes. There are two possible prices for two patties, which means two outputs for the same input.

• No. There are two possible prices for two patties, which means two outputs for the same input.

• No. There is only one possible price for two patties, which means one output for the same input.

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 each statement in function notation with a description.

• 
• 
• 

Function f gives the distance of a dog from a post, in feet, as a function of time, in seconds, since its owner left. Find the value of:

f(20) and f(140)

• f(20)=3.1

  f(140)=3.5

• f(20)=1.5

  f(140)=4

• f(20)=3.1

  f(140)=4

• f(20)=1.5

  f(140)=3.5

Tyler filled up his bathtub, took a bath, and then drained the tub. The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub. Choose yes or no to indicate whether the meaning of each statement in this situation is correct.

• a. yes

  b. yes

  c. yes

  d. yes

  e. yes

• a. yes

  b. no

  c. yes

  d. no

  e. yes

• a. no

  b. no

  c. yes

  d. yes

  e. no

Function f gives the temperature, in degrees Celsius, t hours after midnight. Match each statement with an equation or expression that represents the statement.

• 
• 
• 

Match each equation with a description of the function it represents.

• 
• 
• 

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used.

The plan from Company D costs $80 per month, with unlimited data.

Which is less, C(4) or D(4)?

Which is less, C(5) or D(5)?

• C(4), D(5)

• D(4), D(5)

• C(4), C(5)

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used.

The plan from Company D costs $80 per month, with unlimited data.

Which graph represents functions C and D? 

• 
• 
• 
•