Question

A population of 55 foxes in a wildlife preserve doubles in size every 14 years. The function y equals 55 times 2 Superscript x ​, where x is the number of 14-year periods, models the population growth. How many foxes will there be after 28 ​years?

Answer 1

Since x is the number of 14-year periods, the first thing we do is divide 28 years by 14. 28/14=2.  Now we use that in our function, $y=55*2^x$.

$y=55*2^2=55*4=220$
There will be 220 foxes after 28 years.