SOLUTION: ``Please help solve the problem. The logistic growth function f(t) = 440/1+6.3e-0.28t describes the population of a species of butterflies after they are introduced to a non-th

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: ``Please help solve the problem. The logistic growth function f(t) = 440/1+6.3e-0.28t describes the population of a species of butterflies after they are introduced to a non-th      Log On


   



Question 618401: ``Please help solve the problem.
The logistic growth function f(t) = 440/1+6.3e-0.28t describes the population of a species of butterflies after they are introduced to a non-threatening habitat. What is the limiting size of the butterfly population that the habitat will sustain? ''.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It looks like +440+ is the limit as +t+ becomes very large
+f%28t%29+=+440+%2F+%28+1+%2B+6.3%2Ae%5E%28-.28t%29+%29+
+e%5E%28-.28t+%29+ approaches zero as +t+ becomes large, so
+f%28t%29+ approaches +440%2F1+=+440+