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?
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