A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after [tex]t[/tex] years can be modeled by the equation [tex]P(t) = 2000(1.05)^t[/tex].

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?

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.

Answered by runescapememo8 | 2024-06-24

The average rate of change in the mouse population between the second year and the fifth year is approximately 116 mice per year. This is calculated using the population growth formula provided. By evaluating the population at years 2 and 5 and determining the difference, we find the average growth over the 3-year period.
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Answered by runescapememo8 | 2024-10-14