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?

Question

Mathematics

Sophie Chapman

20 November, 17:28

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?

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Quinn Stephenson · 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.