Question

A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after t years can be modeled by the equation, P(t)=2000(1.05)^t. What is the average rate of change in the number of mice between the second year and the fifth year, rounded to the nearest whole number?

Answer 1

m=2000 (1.05)^2 for 2 years
so m=2205

m=2000 (1.05)^5 for 5 years
so m= approximately 2553


2553-2000
=553

That's your average rate of change in mice between two years and five years.