Question

HELP PLEASE 10 POINTS!!!!!! A country's population in 1993 was 171 million. In 1999 it was 176 million. Estimate the population in 2012 using the exponential growth formula. Round your answer to the nearest million. P=Ae^kt This is exponential growth

Answer 1

Let 1993 = time 0 = 0.

Let 1999 = time 6 = 6

Let 2012 = time 19 = 19

So, a = 171 (million). First solve for k.

176 = 171 e^k6

176/171 = e^(k*6)

ln (176/171) = 6k

k = 1/6 ln (176/171)

So, in 2012 we have: P(19) = 171 e^(19k), where k = 1/6 ln (176/171)

Hope this helped!