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OlgaM077 [116]
3 years ago
6

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 dete

rmine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.
Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

160\ \text{s}

Step-by-step explanation:

The inequality that represents the situation is

500-2.5t where t is the time in seconds

\Rightarrow -2.5t

\Rightarrow -2.5t

\Rightarrow 2.5t>400

\Rightarrow t>\dfrac{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}.

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