Question

A population of 60 foxes in a wildlife preserve triples in size every 14 years. The function y = 60 • 3*. where x is the number of 14-year periods, models the population growth. How many foxes will there be after 42 years?

Answer 1

The function y = 60 • 3^x models the population growth, where x is the number of 14-year periods.

To find the number of foxes after 42 years, we need to convert 42 years to the number of 14-year periods.

42 years / 14 years/period = 3 periods

So, the number of foxes after 42 years is:

y = 60 • 3^3

y = 60 • 27

y = 1620

Therefore, there will be 1620 foxes after 42 years.