(5 points) Suppose the rate of change of a rabbit population is proportional to the number of rabbits. If the initial population is 400 rabbits and it doubles after 4 months, answer the following questions. Give exact answers NOT decimal approximations. 1. Write an expression for the number of rabbits aftert months. Answer: Pa) : 2. Find the number of rabbits after 8 months. Answer: 3. Find the rate at which the population of rabbits is increasing at 8 months. Answer (in rabbits per month)