A country's population in 1992 was 50 million. In 2002 it was 53 million. Estimate the population in 2010 using the exponential growth formula. Round your answer to the nearest million. P = Aekt

First find the rate of growth

A=pe^kt

A 53

P 50

K unknown

Time 2,002-1,992=10 years

53=50*e^ (10k)

Solve for k

K = (log (53:50) : log (e)) : 10

k=0.00583

Now Estimate the population in 2010

A=pe^kt

A unknown

P 50

K 0.00583

t 2,010-1,992=18 years

A=50*e^ (0.00583*18)

A=55.5 million