Mathematics
mayerlinysofia
34

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.

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sillycam123

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)

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