Comparing Functions in Context

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

• After 5 week the plant is 4 inches tall

• The plant grows at a rate of 5/4 inch per week

• After 4 weeks the plant is 5 inches tall

• The plant grows at a rate of 1 inch per week

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(7) represent?

• cost of $7 to ride the taxi

• cost to ride 7 miles

• minimum distance to ride a taxi

• minimum cost of a taxi

Derek works at Subway making $9.25 an hour.  The function d(x)=9.25x tells us how much money Derek makes after x hours of working.  What is the meaning of d(4)=37?

• After 4 hours of work, Derek makes $37.

• Derek needs $4 more to have $37 total.

• After working for 4 days, Derek makes $37 total.

• After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

• Ms. Brackemyer starts with 8 pencils and ends with 52.

• After 8 days, Ms. Brackemyer has 52 pencils.

• Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

• Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

• F
• G
• H
• J

Sam is saving more money per week than his sister.

• TRUE

• FALSE

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper

• Nate’s service ($42 vs. $44) is cheaper

• Nate’s service ($38 vs. $40) is cheaper

• Beth's service ($42 vs. $44) is cheaper

Which pizza place pays the best salary per pizza delivered? How many pizzas would the pizzeria need to deliver to make at least $ 100 dollars in one night? Write the equation of each Pizzeria salary scale.

• Bombino's

  21 pizzas

  f(x)= 56x+2.5

• Little Squeezers

  20 pizzas

  f(x)= 3x+48

• Little Squeezers

  15 pizzas

  f(x)= 48+9x

• Bombino's

  18 pizzas

  f(x)= 2.5x+56

Two linear functions are shown below. Which function has the greater initial value?

• Function A

• Function B

• Function J, -6

• Function J, 8

• Function K, 5

• Function K, 10