Question

A country's population in 1990 was 48 million. In 1997 it was 51 million. Estimate the population in 2017 using the exponential growth formula. Round your answer to the nearest million.

Answer 1

Hi there
First find the growth rate between 1990 and 1997
The formula is
P=Ae^rt
P 51 million
A 48 million
E constant
R growth rate?
T time 1,997−1,990=7 years
We need to solve for r
R=[log (p/A)÷log (e)]÷t
R=(log(51÷48)÷log(e))÷7
R=0.009

Now find the population in 2017
P=Ae^rt
P ?
A 48 million
R 0.009
T time 2,017−1,990=27 years
So
P=48×e^(0.009×27)
P=61 million

Hope it helps