Nonnie16 Nonnie16

28-06-2016
Mathematics

Answered

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.

Verified Answer :

28-06-2016

Hello,
Let's assume x= the year -1992
y the population in million.

y=ke^(ax)

136=ke^0==>k=136
141=136e^(a6)==> a=(ln(141/136)) / 6

y=136e^((ln(141/136))/6 15)
==>y=148.8457...≈149 (million)

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