A country's population in 1992 was 136 million. In 1998 it was 141 million. Estimate the population in 2007 using exponential growth formula. Round your answer to the nearest million.

Question

Mathematics

Finn

8 May, 07:23

A country's population in 1992 was 136 million. In 1998 it was 141 million. Estimate the population in 2007 using exponential growth formula. Round your answer to the nearest million.

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Answers (1)

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Ben Snow · Answer 1

Hello,

Let's assume x = the year - 1992

y the population in million.

y=k*e^ (ax)

136=k*e^0==>k=136

141=136*e^ (a*6) = = > a = (ln (141/136)) / 6

y=136*e^ ((ln (141/136)) / 6 * 15)

==>y=148.8457 ... ≈149 (million)