Question

A 40 of foxes in a wildlife preserve quadruples in size every 13 years. The function y=40•4^4, where x is the number of 13-year period, models the population growth. How many foxes will there be after 26 years

Answer 1

640 foxes

Explanation:

The actual formula is
`y = 40 * 4^(x)`

Now that we have the real formula we would need to find out how many 13 year periods exist in the 26 years that are being used in the question. We calculate this by simply dividing 26 by 13.

26 / 13 = 2 periods

Therefore, now that we know there are 2 periods of 13 years in the 26-year span, we plug this value into the formula and solve for y...

`y = 40 * 4^(x)`

`y = 40 * 4^(2)`

`y = 40 * 16`

`y = 640`

Finally, we can see that there should be 640 foxes after 26 years.