Cool Down
A parent is using a garden hose to fill up a small inflatable pool for her young child. The pool has a capacity of 90 gallons. She turns the water off after 5 minutes, but she leaves the hose in the pool for another 3 minutes before putting it away.
In this situation, the relationship between the gallons of water in the pool and the time, in minutes, since the parent started filling the pool can be seen as a function.
In that function, which variable is independent?
Compare your answer:
The time is the independent variable.
In this function, which variable is dependent?
Compare your answer:
The amount of water is the dependent variable.
Write a sentence of the form “____ is a function of ____.”
Compare your answer:
The amount of water, in gallons, is a function of time, in minutes, since water started filling the pool.
Use the graphing tool above or technology outside the course. Sketch a possible graph of the relationship on the coordinate plane. Be sure to label and indicate a scale on each axis.
Compare your answer: