A population of 75 foxes in a wildlife preserve doubles in size every year. The function %0D%0A𝑦%0D%0A %0D%0A=%0D%0A %0D%0A75%0D%0A %0D%0A⋅%0D%0A %0D%0A2%0D%0A𝑥%0D%0Ay = 75 ⋅ 2 %0D%0Ax%0D%0A , where x is the number of years, models the population growth. Using the given function, how many foxes will there be after 4 years?%0D%0A%0D%0A%0D%0A%0D%0AAfter 4 years, there will be %0D%0A%0D%0A foxes. (Round your answer to a whole number).

1 answer

After 4 years, there will be 600 foxes.

- Substitute x with 4 in the function:
y = 75 ⋅ 2^4
y = 75 ⋅ 16
y = 1200

Therefore, after 4 years, there will be 1200 foxes.