The graph of y fx represents the amount of water in thousan

The graph of y = f(x) represents the amount of water in thousands of gallons remaining in a swimming pool after x days. (a) Estimate the initial and final amounts of water contained in the pool. (b) When did the amount of water in the pool remain constant? (c) Approximate f(2) and f(4). (d) At what rate was water being drained from the pool when 1 lessthanorequalto x lessthanorequalto 3?

Solution

a. The initial amount is 50,000 gallons and final amount is 30,000 gallons .

b. The amount of water remain constant between 0-1 days and 3-4 days.

c.f(2)=45,000 gallons and f(4)=40,000 gallons

d. (f(3)-f(1))/(3-1) = -10/2=-5

Decreasing at the rate of 5000 gallons per day .