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The average annual population increase of a pack of wolves is 25. Does this represent an exponential function? If so, why?

a) Yes, because the increase is constant.
b) No, because the increase is constant.
c) Yes, because the increase is proportional to the current population.
d) No, because the increase is proportional to the current population.

1 Answer

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Final answer:

An annual population increase of 25 in a wolf pack does not represent exponential growth as it is constant, rather than proportional to the population size. Exponential growth accelerates as the population increases.

Step-by-step explanation:

The average annual population increase of a pack of wolves is 25. This does not represent an exponential function because an exponential increase is not constant; rather, it is proportional to the current population size. Since the question specifies that the increase is constant, the correct answer is b) No, because the increase is constant. Exponential growth occurs when the growth rate becomes faster as the population size increases. Examples of exponential population growth include bacteria growing in an enriched medium in a lab or the human population growth during certain periods.

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