Question

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.

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.