A tank holds 200 gallons of water, which drains from a leak at the bottom, causi

Question

A tank holds 200 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 40 minutes. Toricelli's Law gives the volume of water remaining in the tank after t minutes as follows. V (t) = 200 (1 - t/40)2 Find V-1. What does V -1 represent? V-1 represents rate at which the tank leaks. V-1 represents the volume of water that has leaked. V-1 represents time that remains for the tank to be emptied. V-l represents time that has elapsed since the tank started to leak.

Explanation / Answer

a>y=200(1-x/40)^2 =>sqrt(y/200)=1-x/40 =>x/40=1-sqrt(y/200) =>x=40*[1-sqrt(y/200)] so, V^-1 =40*[1-sqrt(V/200)] b>it represents time that has elapsed since tank has leaked that is 4th option.

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