Amouse 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

Let's disect our equation.



The 2000 is the initial number. Each year, there is 5% more. Add that to the 100% already there and you get 105%, in decimal form 1.05. Each year that is multiplied onto 2000, so we represent it as an exponent ^t. The 1.05^t is our rate of change.

Now let's try for 2 and 5.



The rate of change would be the difference between the two.