A country's population in 1994 was 76 million. In 1998 it was 81 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million.

Question

Jada House

Mathematics

24 May, 20:21

A country's population in 1994 was 76 million. In 1998 it was 81 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million.

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Starr · Answer 1

P (t) = population in year t ... where t = number of years since 1998

- - - 1998 gives t = 0 - - - 1998 gives t = 4

P (t) = P (0) e^ (kt)

P (4) = 81 = 76 e^ (4k)

e^ (4k) = 81/76

4k = ln (81/76)

k = (1/4) ln (81/76) ~ 0.01592895

2016 ... t = 22

P (t) = P (0) e^ (kt)

P (22) = 76 e^ (0.01592895 (22))

P (22) = 107.896 million