2) In an experiment, a number of fruit flies are placed in a container. The population of fruit flies, P, increases and can be modelled by the function P(O) . 1 > 0, where t is the number of days since the fruit flies were placed in the container. 12 x 30.4981 a. [2 marks] Find the number of fruit flies which were initially placed in the container. b. [2 marks] Find the number of fruit flies that are in the container after 6 days. c. [2 marks] The maximum capacity of the container is 8,000 fruit flies. Find the number of days until the container reaches its maximum capacity. d. [1 mark] The number of fruit flies will not decrease below p. Write down the value of p. Answers/Work: a: b: /7 marks d:​