Suppose a countrys population in 1980 was 210 million. In 1990 it was 225 million. Using the exponential growth formula, P=Ae^kt, estimate the countrys population in 2000

Question

Fabian Larson

Mathematics

6 February, 02:11

Suppose a countrys population in 1980 was 210 million. In 1990 it was 225 million. Using the exponential growth formula, P=Ae^kt, estimate the countrys population in 2000

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Jaylan Riggs · Answer 1

P=Ae^kt

225 = 210 * e^ (k * (1990-1980)

225/210=e^10k ln (225/210) = 10k

k=ln (225/210) / 10=0.0069

P = 210*e^ (0.0069t)

for 2000 = = = > t = 2000-1980=20

P = 210*e^ (0.0069*20)

P=241.0749=241