Question

a country's population in 1995 was 175 million. In 2000 it was 181 million. Estimate the population in 2020 using exponential growth formula. Round you answer to the nearest million

Answer 1

First find the rate of growth
The formula is
P=Ae^rt
P 181 million
A 175 million
E constant
R rate of growth?
T time 2,000−1,995=5 years
Solve the formula for r
R=(log (p/A)÷log (e))÷t
R=(log(181÷175)÷log(e))÷5
R=0.0067

Now find the population in 2020
P=Ae^rt
P?
A 175 million
R 0.0067
T time 2,020−1,995=25 years
P=175×e^(0.0067×25)
P=207 million. .....answer