Answer to Question #38293 in Calculus for Abdullah

Question

The population (P) of an island y years after colonisation is given by the function
P =250/1+4e^(-0.01y)
What was the initial population of the island?
How long did it take before the island had a population of 150?
After how many years was the population growing the fastest?
Sketch the function.
Give a possible explanation for the shape of the curve.