Question

An initial population of 20 rabbits triples every half year. The function f(x) = 20(3^x) gives the population after x half-periods. How many rabbits will there be after 3 years

Answer 1

The number of rabbits that there will be in 3 years is 14,580.

What is the number of rabbits in 3 years?

The growth rates of the rabbits is an exponential growth. The formula that can be used to represent the population of the rabbits in 3 years is:

f(x) = 20(3^x)

Where x represents the number of years. The number of years is 6(3 x 2)

20 x 3^6 = 14,580

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