Question

A country's population in 1992 was 136 million. In 1998 it was 141 million. Estimate the population in 2007 using exponential growth formula. Round your answer to the nearest million.

Answer 1

Hello,
Let's assume x= the year -1992
y the population in million.

y=k*e^(ax)

136=k*e^0==>k=136
141=136*e^(a*6)==> a=(ln(141/136)) / 6

y=136*e^((ln(141/136))/6 * 15)
==>y=148.8457...≈149 (million)