The function y=50cos(3x)+75 describes the population of a rabbit colony in the national park x years after 2000. What is the population of the colony expected to be in the year​ 2020?

Answer 1

so our x = 20
set your calculator to radians and find
50 cos(60) + 75
= appr 27 rabbits

Strange question. The max population would be 125 and the minimum would be 25 repeatedly during that time, and it would go from a max to a min in a period of (1/2)(2π/3) years or appr. every year.

Answer 2

And how did you come up with the max & min