In a predator/prey model, the predator population is modeled by y = 700 cos(2t) + 8000 where t is measured in years. What is the maximum population?

Answer 1

y = 700cos(2t) + 8000

The maximum value of 700cos(2t) is 700(1) = 700

So, the maximum value of y is 700 + 8000 = 8700.

Answer 2

How many years are you referring to?