Question

1. Suppose that a colony of mice started with 50 mice at the beginning of the year, and 4 months later the colony grew exponentially to 100 mice. Let P(t) describe the amount of mice after t months pass from the beginning of the year.

   1. (a) 5 pts Write a differential equation that describes the growth rate of the colony in terms of the population size. Use k as the growth constant.

   2. (b) 10 pts Find the growth constant k for the colony.

   3. (c) 5 pts How many mice are in the colony after 12 months?

Answer 1