3 Foxes are released on the island from Problem 1 when the population of rabbits has reached 2150 rabbits. The rabbits are so shocked by the arrival of the foxes that they stop reproducing. They also don't die from natural causes. The only thing that is reducing the rabbit population is the rabbits being eaten by foxes. The foxes consume 4% of the existing rabbit population each month.

a. What is the equation that shows the number of rabbits as a function of time?

b. After 2 years, how many rabbits are left?

c. When there are only 100 rabbits left, the foxes will sail away in search of more food. How long will it take for this happy day to arrive?