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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)

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MathPhys

Answer:

0.1187

Step-by-step 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

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