# The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1995?

Dec 30, 2016

Population (1995): $5.9$ billion

#### Explanation:

${\text{Population}}_{1995}$

color(white)("XXX") = "Population"_(1987) * (1 + 2%)^(1995-1987)

color(white)("XXX") = 5 " billion" xx (1.02)^8

$\textcolor{w h i t e}{\text{XXX}} \approx 5.8582969 \ldots$ billion