A town is experiencing a growth pattern of 8% per year in its population P; that is dP / dt =0.08P, where P is the population of the town and t is the time, in years, from 2005.

(a) Given that the town’s population in 2005 was 400,

find the solution of the equation assuming = 400

and k = 0.08.

(b) What will the population be in 2015?

(c) What is the doubling time of the population?


(a)

(b) 890

(c) 8.7 yr

Mathematics

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