Suppose the population of a town increases or decreases by the following percentages. For each situation, find the annual percent change of each situation.

Question

Suppose the population of a town increases or decreases by the following percentages. For each situation, find the annual percent change of each situation. A) Increases by 360% every 11 years B) Decreases by 30% every 3 years C) Doubles in size every 9 years

Answer 1

increases 360% every 11 years

what is the annual rate of increase?

3.6 = e^11r

ln3.6 = 11r

r = ln3.6/11 = about 11.64% annual increase

big mistake if you try to divide 360% by 11