Question

A country's population in 1993 was 72 million. In 1996 it was 76 million. Estimate the population in 2003 using exponential growth.

Answer 1

Hagrid is correct but its asking to the nearest million so it's 86 mill so just type in 86 then press enter

Answer 2

We use the formula for exponential growth:
P = Po exp(kt)
Using the population data from 1993 to 1996, we can solve for the growth rate k
76 = 72 exp(k(3))
76/72 = exp(3k)
ln (76/72) = 3k
k = ln(76/72) / 3 = 0.0180

In 10 years (2003), the population will be:
P = Po exp(0.0180t)
P = 72 exp(0.0180(10))
P = 86.22 million