A population of 35 foxes in a wildlife preserve quadruples in size every 14 years. The function y equals 35 times 4 Superscript x, where x is the number of 14-year periods, models the population growth. How many foxes will there be after 28 years?
20,500
To find out how many foxes there will be after 28 years, we can use the given function:
y = 35 * 4^x
Here, x represents the number of 14-year periods. In this case, we have 28 years which means there are 2 periods of 14 years each.
So, we substitute x = 2 into the function:
y = 35 * 4^2
Simplifying the exponent:
y = 35 * 16
Multiplying:
y = 560
Therefore, there will be a population of 560 foxes after 28 years.