Question
Under ideal conditions, a population of rabbits has an exponential growth rate of 11.8% per day. Consider an initial population of 300 rabbits.
Find the exponential growth function.
Find the exponential growth function.
Answers
Damon
dr/dt = .118 r
dr/r = .118 dt
ln r = .118 t + c
r = e^(.118 t +c) = e^c * e^.118t
when t = 0, e^.118t = 1
r = e^c = 300
so
r = 300 e^.118 t
dr/r = .118 dt
ln r = .118 t + c
r = e^(.118 t +c) = e^c * e^.118t
when t = 0, e^.118t = 1
r = e^c = 300
so
r = 300 e^.118 t