# Answer on Calculus Question for Abdullah

Question #38293

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.

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.

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