Question

A swimming pool is being drained so it can be cleaned. The amount of water in the pool is changing According to the function f(t) = 80,000-16,000t, where t = time in hours and f(t) = amount of water in liters.

Answer 1

5 hours

Explanation:

Given the function

`f(t)=80000 -16000t`

where t is time in hours and f(t) is the amount of water in liter

To find the time needed to drained the entire pool we have to make f(t)=0 and solve the equation for t

`0=80000-16000t\\-80000=-16000t\\t=(-80000)/(-16000)\\ t=5`

So the time needed is 5 hours