Question

The population of a small town is modeled by the equation P = 1150e0.5t where t is measured in years. In approximately how many years will the town's population reach 20,000? (Round your answer to two decimal places.) yr

Answer 1

Explanation:

population P = 1150 e^(t/2), time duration t in years.

20,000 = 1150 e^(t/2)

t = 2 × Ln (20,000/1150) = 5.71 years