Question

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

Answer 1

All real numbers between 0 and 6

Explanation:

We know, the function represents 'the amount of water in the pool until it is full'.

That is, 'It is a function of time giving the value of amount of water in the pool until it is full'.

So, we get that,

The domain is representing the time in which the pool is filled completely.

As, we are given that,

Maximum time taken to completely fill the pool = 6 hours.

So, the domain of the functions is 'All real numbers between 0 and 6'.