Question

A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 40 minutes. According to Toricelli's Law, the volume V of water remaining in the tank after t min is given by the function V = f(t) = 100 1 − t 40 2 . (a) Find f −1. f −1(V) = $$ Correct: Your answer is correct. What does f −1 represent? f −1 represents the rate at which the tank leaks. f −1 represents the time that has elapsed since the tank started to leak. f −1 represents the volume of water that has leaked out of the tank. f −1 represents the time that remains for the tank to be emptied. f −1 represents the water remaining in the tank t minutes after the tank started to leak. Correct: Your answer is correct. (b) Find f −1(12). (Round your answer to one decimal place.) f −1(12) = What does your answer represent? f −1(12) represents the rate at which the tank is leaking when 12 gallons have drained from the tank. f −1(12) represents the time that has elapsed when there are 12 gallons left in the tank. f −1(12) represents the volume of water that has leaked out of the tank after 12 minutes. f −1(12) represents the time that remains for the tank to be emptied when 12 gallons have drained from the tank. f −1(12) represents the water remaining in the tank 12 minutes after the tank started to leak.

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Answer 1