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