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.

After how many hours was the rainfall 2 cm?

• 1 hour

• 2 hours

• 3 hours

• 4 hours

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.

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

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters. Here is a graph that represents d. Select all statements in function notation that represent the situation.

• d(0) = 170

• d(30) = d(70)

• d(t) = 10 when t is 20

• d(170) = 0

• d(0) = 0

Explain the meaning of f(4) = 16.

• The height is 16 feet at 4 seconds.

• The height is 4 feet at 16 seconds.

• A

• B

• C

• D

Function f gives the temperature, in 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.

• f(9) = f(4)

• f(9) = f(16)

• f(9) = 4

• f(9) = 16

• The score after the first round.

• The score after the fifth round.

• The total score after 4 rounds.

• The initial score before the game starts.

Function f gives the temperature, in 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.

• f(9) = f(4)

• f(9) = f(16)

• f(9) = 4

• f(9) = 16