The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 20ln(40t − 1200), where t is measured in years. Find the equation to model the population.

P = 2t + 60
P equals 1 over 40 times e to the power of the quantity five hundredths times t end quantity plus 30 where P 0 equals 30
P equals 1 over 40 times ln of the quantity five hundredths times t end quantity plus 30 where P 0 equals 30
P equals 1 over 800 times e to the power of t plus 30 where P 0 equals 30