When pouring water from one five gallon bucket to another, a person tends to pour at a faster rate at first and then slow down in order not to spill. The amount of water left in the original bucket can be approximated by

f (t) = 5 - 0.82t0.62,

where f (t) is measured in gallons and t is the time spent pouring in seconds. Find the approximate amount of water left in the original bucket after 6 seconds of pouring. Round to the nearest hundredth.

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2 November, 01:13

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Vaughn Yu · Answer 1

I will assume that 0.62 is an exponent then

amount left after t seconds = f (6) = 5 - 0.82 (6) ^0.62

= 2.51 gallons to nearest hundredth.