Question

Suppose a country's population in 1980 was 210 million. In 1990 it was 225 million. Using the exponential growth formula, P=Ae^kt, estimate the country's population in 2000

Answer 1

P=Ae^kt

225 = 210 * e^(k*(1990-1980)
225/210=e^10k
ln(225/210)=10k
k=ln(225/210)/10=0.0069

P = 210*e^(0.0069t)

for 2000 ===> t = 2000-1980=20
P = 210*e^(0.0069*20)
P=241.0749=241