The population of a city is 𝑃(𝑡)=7𝑒^0.02𝑡 (in millions), where t is measured in years.

Question

The population of a city is

𝑃(𝑡)=7𝑒^0.02𝑡

(in millions), where t is measured in years.

(a) Calculate the doubling time of the population. 

(b) How long does it take for the population to triple in size? 

(c) How long does it take for the population to quadruple in size?

Answer 1

(a) 2 = e^0.02t

(b) 3 = e^0.02t

(c) 4 = e^0.02t