A population of 75 foxes in a wildlife preserve double in size every year. The function y = 75 ⋅ 2^x , where x is the number of years, models the population growth. How many foxes will there be after 4 years?

Question

A population of 75 foxes in a wildlife preserve double in size every year. The function y = 75 ⋅ 2^x , where x is the number of years, models the population growth. How many foxes will there be after 4 years?

After 4 years, there will be

Answer 1

After 4 years, the value of x is 4.

Plugging x = 4 into the function y = 75 ⋅ 2^x gives us:

y = 75 ⋅ 2^4

Simplifying, we have:

y = 75 ⋅ 16

y = 1200

So after 4 years, there will be 1200 foxes in the wildlife preserve.