approximafely modelled by the equation P asin bt c a b c R where t is measured in mont is from the time of the initial measurements In a 12 month period the maximum population is 2600 and oceurs when t 3 and the minimum population is 800 and occurs when t 9 Find the value of t at which the population first reaches 2200 P 3 2600 80 a i Find the value of a a ii Find the value of b 9 800 12 t a iii Find the value of c Find the value of t at which the population first reaches 2200