Illustrative Math
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.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
| arrow_right_alt | The bathtub starts out with no water. | |
| arrow_right_alt | The height of the water is 10 inches after 4 minutes. | |
| arrow_right_alt | After 10 minutes, the height of the water is 4 inches. | |
| arrow_right_alt | After 20 minutes, the bathtub is empty. |

Use how #3 looks to do #2.

Your grade is a function of your score. Is your score a function of your grade?
Given the function f(x)=3x + 4, find f(2)
Given g(x)= -2x -7, find g(-3)
We have been using the formula D=rt all trimester to represent that distance traveled equals the rate (speed) multiplied by the time at that speed. You are traveling at a constant rate of 60 miles per hour. So your distance will be a function of your time. How far will you travel in 5 hours?
At a constant rate of 60 miles per hour, it is also fair to say that time is a function of your distance. So if you travel 600 miles, how long will it take?