The population of a rural city follows the exponential growt

The population of a rural city follows the exponential growth model P(t)=3000e^0.037t where t is the number of years after 1985. A.) What is the population of the city in 1985? B.) What is the relative growth rate as a percent? C.) Use this model to approximate the population in 2031?

Solution

P(t)=3000e^0.037t after 1985

A) 1985 t=0

population = 3000

B) P= Poe^rt

where r= relative grwoth rate

r = 0.037;

in % r= 3.7%

C) Poulation in 1931 ; t= 16

P(16) = 3000e^(0.037*16) =3000*1.8076 = 5422.80