Growth of populations

Question

Daisy purchased a rabbit couple to keep as pets. Perhaps daisy got more than she bargained for! If the population of rabbits doubles every 3 months, how many rabbits will daisy have at the end of 3 years?

Answer 1

f(x) = ab^x, where a = initial amount, b = rate of growth, t = number of periods

 

f(12) = 2(2)¹²,  Every three months is four times a year.

f(12) = 8192