A population of 55 foxes in a wildlife preserve quadruples in size every 11 years. The function y equals 55 times 4 Superscript x​, where x is the number of 11​-year ​periods, models the population growth. How many foxes will there be after 33 ​years?

880

To find out how many foxes there will be after 33 years, we need to calculate the value of y when x is 33.

The given function is y = 55 * 4^x, where x represents the number of 11-year periods.

For this case, x = 33 years / 11 years per period = 3 periods.

Substituting x = 3 into the function, we have:
y = 55 * 4^3
y = 55 * 4 * 4 * 4
y = 55 * 64
y = 3520

Therefore, after 33 years, there will be 3520 foxes in the wildlife preserve.

what is the answer

Y = 55*4^x.

X = 33/11 = 3,
Y = 55*4^3 =