rabbit equation

Question

In an effort to control vegetation overgrowth, 108 rabbits are released in an isolated area free of predators. After 3 years, it is estimated that the rabbit population has increased to 864. Assuming exponential population growth, what will the population be after another 6 months? Round to the nearest rabbit.

Answer 1

864/108 = e^3r

ln(216/27) =3r

r = ln(216/27)/3= about 0.693

A = 108e^(7/2)(.693)

= 1222 rabbits rounded off to nearest rabbit