Suppose that the population of a region at the start of 2006 was 3.6 million peo

Question

Suppose that the population of a region at the start of 2006 was 3.6 million people and at the start of 2008 the population was 4.8 million people. Let p denote the population of the region(in millions) at time t, with t=0 corresponding to the beginning of 2006. Assuming that the population growth is exponential, in what year will the population of the region reach 7 million? Show explicitly how you arrived at your conclusion.

Explanation / Answer

P = Po e^(at) ==> 4.8 = 3.6 (e^(2a) ) ==> 0.144 ==> 7 = 3.6 (e^(0.144t) ) ==> t = 4.6 years I.e in year 2010

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