Thread: How many years?

a hunting club stocks a wildlife preserve with 15 elk. The carrying capacity of the preserve is 240 animals and the growth of the herd, allowing for the effect of controlled hunting of elk, is expected to me modeled by the logistic curve p(t)=240/(1+15e^(-0.181t)), where t is measured in years, after howmany years will the population be 203?

Originally Posted by VNVeteran

a hunting club stocks a wildlife preserve with 15 elk. The carrying capacity of the preserve is 240 animals and the growth of the herd, allowing for the effect of controlled hunting of elk, is expected to me modeled by the logistic curve p(t)=240/(1+15e^(-0.181t)), where t is measured in years, after howmany years will the population be 203?

Since you need to calculate t, knowing P = 203
You could rearrange the formula.

240/203 = 1+15e^(-0.181t)
(240-203) - 1 = 15e^(-0.181t)
0.18 = 15e^(-0.181t)
(0.18/15) = e^(-0.181t)