A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. round to the nearest million.
(1) Answers
Exponential growth is of the form: F=Ir^t, F=final amount, I=initial amount, r=rate, t=time For this problem we need to find r and we are given two points so: 162/156=(ar^6)/(ar^0) 27/26=r^6 r=(27/26)^(1/6) F(y)=156(27/26)^(1/6)^(y-1990) F(2016)=156(27/26)^(1/6)^26 F(2016)=156(27/26)^(13/3) F(2016)=184 million (to nearest million)
Add answer
Sign in
Sign up