Question

It takes a total of 6 hours to fill up an inground backyard pool using a standard hose. A function can represent this situation to represent the amount of water in the pool until it is full as a function of the time the hose is running. Determine the domain for this function.

a: The domain is all integers from 0 to 6 hours.
b: The domain is all even integers from 0 to 6 hours.
c: The domain is all real numbers from 0 to 6 hours.
d: The domain is all positive real numbers.

Answer 1

c: The domain is all real numbers from 0 to 6 hours.

Explanation:

Time is measured continuously, not just at integer numbers of hours. The pool fill function has no utility for negative time, or time beyond that when the pool is full. An appropriate domain is real numbers [0, 6].