Growth, I’ve been trying to solve this for hours and I just can’t get it.

Question

Suppose a new breed of rabbit appears on Leroy Jenkins' farm. Initially there are 24 rabbits on the farm, but they population will double each month.

1. Write a model to calculate the number of rabbits on the farm as a function of t, where t is the number of months since the rabbits moved in.
2. Then find the number of rabbits on the farm after 2 years.

Answer 1

Use P(t) = P(0) * (1+r)^t

Where:

P(0) = 24 rabbits

r = 1, in other words 100%

t = 24 months

P(24) = 402,653,184