5. [5 marks] The population of Figi was 800, 000 in the year 2000 with an annual growth rate of 1.12%. if P(t) represents the population of Figi in thousands and t is the number of years, then: [Hint: P(t) = Poekt where Po is the initial population and k is the rate of increase/ decrease (a) Write a mathematical model that relates the population of Figi as a function of the number of years after 2000. (b) If the annual rate of increase remains the same, use this model to predict the population of Figi in the year 2030. Round to the nearest thousand. (c) How long will it take for the Figi population to double