The rate of consumption of oil (in billions of barrels) by the company in Exercise 71 was given as 1.2e^0.04t, where t = 0 corresponds to 2010. Find the total amount of oil used by the company from 2010 to year T. At this rate, how much will be used in 5 years?

Data from Exercises 71

Suppose that the rate of consumption of a natural resource is c(t), where c'(t) = ke^rt. Here t is time in years, r is a constant, and k is the consumption in the year when t = 0. In 2010, an oil company sold 1.2 billion barrels of oil. Assume that r = 0.04.