A population of 35 foxes in a wildlife preserve doubles in size every 13 years. The function y equals 35 times 2 Superscript x​, where x is the number of 13​-year ​periods, models the population growth. How many foxes will there be after 39 ​years?

Question

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Part 1
After 39 years there will be
  
enter your response here foxes. ​(Type a whole​ number.)

Answer 1

To find the number of foxes after 39 years, we need to substitute x = 39/13 into the equation:

y = 35 * 2^(39/13)

Using a calculator, we can simplify this expression to find:

y ≈ 35 * 2^3

y ≈ 35 * 8

y ≈ 280

Therefore, after 39 years, there will be approximately 280 foxes in the wildlife preserve.