An oil tanker hits a reef and begins to leak. The efforts of the workers repairing the leak cause the rate at which the oil is leaking to decrease. The oil was leaking at a rate of 31 barrels per hour at the end of the first hour after the accident, and the rate is decreasing at a rate of one barrel per hour.
(a) What function describes the rate of loss?
(b) How many barrels of oil will leak in the first 6 hours?
(c) When will the oil leak be stopped? How much will have leaked altogether?