Question

There were 50 rabbits on an island. After three months the number of rabbits had increased to 70. If the number of rabbits increased exponentially, answer the questions that follow:

A. in the equation above (where t is in months:, find the value of the growth rate k. (round k to 4 decimal places)

Answer 1

0.1187

Explanation:

A = P (1 + k)^t

where A is the final amount,

P is the initial amount,

k is the monthly growth rate,

and t is the number of months.

70 = 50 (1 + k)^3

1.4 = (1 + k)^3

∛1.4 = 1 + k

k = -1 + ∛1.4

k = 0.1187