Interpreting Function Notation Word Problems

The function R represents the rain total rainfall, in cm, after x hours. The graph of the function is shown.

Interpret the meaning of R (1.5) = 3

• After 1.5 hours, 3 cm of rain has fallen.

• After 3 hours, 1.5 cm of rain has fallen.

• After 1.5 hours, 1.5 cm of rain has fallen.

• After 3 hours, 3 cm of rain has fallen.

The function B(x) = 8x + 25 represents the cost (in dollars) of renting a bicycle for x days.

Explain the meaning of B(13)=129

• The cost of renting the bicycle for 13 days is $129.

• The cost of renting the bicycle for 129 days is $13.

• The cost of renting the bicycle for 8 days is $129.

• The cost of renting the bicycle for 129 days is $25.

Function F shows the distance a car traveled after h, hours. The graph is shown. Estimate F(6) and explain its meaning.

• 240;

  240 miles were traveled after 6 hours.

• 240;

  240 hours passed after 6 miles were driven.

• 320;

  320 miles were traveled after 6 hours.

• 320;

  320 hours passed after 6 miles were driven.

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

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.

The function R represents the rain total rainfall, in cm, after x hours. The graph of the function is shown.

What was the rainfall after 2 hours?

• 1 cm

• 3 cm

• 4 cm

• 5 cm

The function B(x) = 8x + 25 represents the cost (in dollars) of renting a bicycle for x days.

What is the cost of renting a bicycle for 5 days?

• $65

• $40

• $125

• $57

The function B(x) = 8x + 25 represents the cost (in dollars) of renting a bicycle for x days.

If the rental fee was $185, then how many days was the bicycle rented?

• 20 days

• 23 days

• 24 days

• 26 days

What does S(7) represent?

• The salary of a babysitter who worked 7 hours.

• The hours worked if the salary is $7.

• The salary of a babysitter who worked 0 hours.

• The hours worked if the salary is $0.

What does S(4)=70 represent?

• The salary of a babysitter who worked 4 hours is $70.

• The number of hours the babysitter worked is 70.

• The salary of a babysitter who worked 70 hours is $4.

• The salary of the babysitter who worked 0 hours is $4.