Question

The logistic growth function P(t)= 160/ 1 + 9e^-0.165t describes the population of the endangered species of elk "t" years after they were introduced into the habitat.
a. How many elk were initially introduced into the habitat?
b. How many elk are expected after 6 years?
What is the limited size of elk population sustained by the habitat?

Answer 1

P(0) = 160/(1+9) = 16
Just plug in t=6 for the population after 6 years.

Note that as t->∞, e^-0.165t -> 0
So, the maximum possible population is 160

See

http://www.wolframalpha.com/input/?i=160%2F+%281+%2B+9e^%28-0.165t%29%29+for+t+%3D+0..50

Answer 2

The population of a southern city follows the exponential law. If the population doubled in size over 29 months and the current population is 30,000​, what will the population be 33 years from​ now