A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million. P=Ae^kt This is exponential growth

Question

Mathematics

Barrett

15 October, 12:30

A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million. P=Ae^kt This is exponential growth

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Bryant Brooks · Answer 1

Answer: The population will be about 150 million in the year 2016.

First, let's start by using the given equation. Fill in the values that you know and solve for the missing piece.

Our equation is:

141 = 136e^ (9k) I used 9 because 2000 is 9 years past 1991.

(141/136) = e^9k Divide both sides by 136

ln (141/138) = 9k Take the natural log of both sides, the e is removed.

0.004 = k Find the natural log of 141/136 and divide it by 9.

Now, we have a new equation. Just plug in 25 for x and you will get 150. We used 26 because 2016 is 25 years past the starting year of 1991.