Question

A country's population in 1992 was 72 million. In 1998 it was 76 million. Estimate the population in 2012 using the exponential growth formula. Round your answer to the nearest million.
P=Ae^kt

Answer 1

First find the rate of growth (k)
P=Ae^kt
P 76 million
A 72 million
E constant
K ?
T time 1998-1992=6 years
Solve the formula for k
K=[log (P/A)÷log (e)]÷t
K=(log(76÷72)÷log(e))÷6
k=0.009

Now find the population in 2012
P=Ae^kt
P ?
A 72 million
E constant
K 0.009
T time 2,012−1,992=20 years

P=72×e^(0.009×20)
p=86 million. In 2012