Modeling Exponential Population Growth

A certain zoo notices that their population of rare stick insects grows by 2 percent each year. The zoo keeper takes an inventory of the insects one day and documents the population size. If P is the population size documented on the day and n is the number of years since the inventory was conducted, what is the predicted population of the insects on any given anniversary of the count?

A

(1.02)^n * P

B

1 + 2n * P

C

(1.2)n * P

D

Pn + P

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