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

P(t)=2000(1.05)^2                                           P(t)=2000(1.05)^5

P(t)=2000(1.1025)                                           P(t)=2000(1.2762)

P(t)=2205 for the second year                        P(t)=2552.5 for the fifth year

2552.5-2205= 347.5     347.5/3 about 115.8 more mice each year or 116 when rounded.

I hope that helped. :)