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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.

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lrluvery

Answer:

5 hours

Step-by-step explanation:

Given the function

[tex]f(t)=80000 -16000t[/tex]

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

[tex]0=80000-16000t\\-80000=-16000t\\t=\frac{-80000}{-16000}\\ t=5[/tex]

So the time needed is 5 hours

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