Question

Rabbit populations can increase by 65% every 30 days. If there are 25 rabbits on a farm, how many rabbits will be on the farm after 210 days? Future Amount = [? ] rabbits

Answer 1

Using an exponential function, it is found that there will be 832 rabbits on the farm after 210 days.

What is an exponential function?

An exponential function is modeled by:

$y = ab^x$

In which:

• a is the initial value.

• b is the growth rate, as a decimal.

Considering the data given in the text, the initial amount and the rate of change are given as follows:

$a = 25, b = (1.65)^{\frac{x}{30}}$

Hence the equation is:

$y = 25(1.65)^{\frac{x}{30}}$

After 210 days, the amount is given by:

$y = 25(1.65)^{\frac{210}{30}} = 832$

More can be learned about exponential functions at brainly.com/question/25537936

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