Question

without any natural predators rabbits can grow at a rate of 25% each year, if 6 rabbits were introduced into an area how many rabbits can be expected to exist after 10 years

Answer 1

The growth rate is 25%

Initial population, P = 6
Growth rate, r = 25% = 25/100 = 0.25
Number of years, t = 10
Final population, A = ?

A = P * (1 + r) ^t

= 6 * (1 + 0.25) ^10
= 6 * 1.25^10
= 6 * 9.31
= 55.86
Approximately 56

Therefore, approximately 56 rabbits can be expected to exist after 10 years