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Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500−2.5t<100 can be used to determine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.

1 Answer

1 vote

Answer:


160\ \text{s}

Explanation:

The inequality that represents the situation is


500-2.5t<100 where
t is the time in seconds


\Rightarrow -2.5t<100-500


\Rightarrow -2.5t<-400


\Rightarrow 2.5t>400


\Rightarrow t>(400)/(2.5)


\Rightarrow t>160\ \text{s}

So, the time after which there will be less than 100 gallons of water is
160\ \text{s}.

User Wpcarro
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