A study of black bears in the Adirondacks reveals that their population can be represented by the function P(t) = 3500(1.025)', where t is the number of years since the study began. Which function is correctly rewritten to reveal the monthly growth rate of the black bear population? Show work.

(1) P(t) = 3500(1.00206)¹²t

(2) P(t) = 3500(1.00206)¹/¹²

(3) P(t) = 3500(1.34489)¹²t

(4) P(t) = 3500(1.34489)¹/¹²​