Question

A swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x represents the amount of water in the pool after x hours.

part a: Find h(3.25).

part b: describe the meaning of h(3.25) in the context of the situation. after _____ the total amount of water in the pool will be ______.​

Answer 1

*assume the pool is empty at the beginning

a) plug 3.25 into the equation and solve

h(3.25) = 600*3.25 = 1950 gallons

b) after 3.25 hours the total amount of water will be 1950 gallons