predict the population

Question

A small sleepy town in California has been losing population since 1993. In 1993 the population was 10500 but it has been decreasing by about 5.2% per year. Write an exponential formula of the form P(t) = a times b^t that models the population t years since 1993

P(t)=___

If this trend continues, predict the population in 2018. Round your answer to the nearest integer ___

Answer 1

Population Model

P(t) = a·b^t

P(t) = 10500(1-0.052)^t

P(t) = 10500(0.948)^t

Predicted population in 2018

P(2018-1995) = P(23) = 10500(0.948)²³ ≈ 3075

Hope this helped!