Acountry's population in 1992 was 72 million. in 1996 was 76 million. estimate the population in 2012 using the exponational growth formula. round your answer to the nearest million.

Let  S1starting population
       Sn final population

Sn = S1 * exp(k * t)

Where k is a constant that we can find.

From 1992 to 1996 there are four years (t = 4)

Sn = 76 million
S1 = 72 million

Sn/S1 = exp(k*4) = 1.055> ln(1.055) = k*4

k = ln(1.055)/4 = 0.0135

Now, from 1996 (our new starting point) to 2012, there are 16 years

so,  t =16, k = 0.0135, S1 = 76 million

Sn = 76million * exp (0.0135*16) = 94.323 million> 94 million

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