The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation 20,000e^0.15t=28,000 represents the situation, where t is the number of years the population has been growing. About how many years has the population of the town been growing? Use a calculator and round your answer to the nearest whole number.

A. 2 years

B. 9 years

C. 17 years

D. 22 years

Question

17 October, 04:29

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Answers (1)

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Emelia · Answer 1

E^0.15t = 28,000 / 20,000 = 1.4

taking logs:-

0.15t = ln 1.4

t = = 2.243

answer is 2 years