# Under ideal conditions, a population of rabbits has an exponential growth rate of 11.5% per day. Consider an initial population of 900 rabbits, how do you find the growth function?

##### 1 Answer

Apr 4, 2018

#### Explanation:

The exponential growth function here takes on the form

In this case, we're given an initial value of

Furthermore, we're told that the daily growth rate is

Well, at equilibrium, the growth rate is zero percent, IE, the population remains unchanged at

In this case, however, the population grows by

Rewritten as a decimal, this yields

So,