A population of 35 foxes in a wildlife preserve quadruples in size every 13 years. The function y=35 * 4^x, where x is the number of 13-year periods, models the population growth. based on the model, how many foxes will be after 39 years?

Question

Mathematics

Lucifer

2 November, 13:01

A population of 35 foxes in a wildlife preserve quadruples in size every 13 years. The function y=35 * 4^x, where x is the number of 13-year periods, models the population growth. based on the model, how many foxes will be after 39 years?

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Answers (1)

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Maximilian Chandler · Answer 1

Answer: There would be 2240 Foxes after 39 years

Step-by-step explanation:

The population of 35 foxes in a wildlife preserve quadruples in size every 13 years. The population growth is modelled by the function,

y = 35 * 4^x

Where

x represents the number of 13-year periods.

In a period of 39 years, the number of of 13-year periods is

39/13 = 3

Since the are three 13-year periods, substituting x = 3 into the function, it becomes

y = 35 * 4^3

y = 35 * 64

y = 2240