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: A native wolf species has been reintroduced into a national forest. Originally 210 wolves were transplanted. After 10 years, the population had grown to 410 wolves. If the population grows exponentially, write an explicit formula for the number of wolves, where w is the number of wolves and t is the number of years.

Respuesta :

The explicit formula that can be used to determine the number of wolves is w = 210 (1.0692^t) .

What is the explicit formula?

The first step is to determine the growth rate of the wolf species.

Growth rate = [(future population / present population)^(1/number of years)] - 1

[(410 / 210)^(1/10)] - 1 = 6.92

The exponential function would have the form:

FV = P (1 + r)^t

  • FV = Future population
  • P = Present population
  • R = rate of growth
  • t = number of years

w = 210 (1.0692^t)

To learn more about exponential functions, please check: https://brainly.com/question/26331578

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