\f6) The fish population in a lake can be modeled by the following function: p(t) = 15(tz + 30)(t+8) where t is time, in years, from now. a) What is the current fish population? (1 mark) b) Determine the rate of change of the fish population in 3 years. (2 marks) c) Determine the rate of change of the fish population when there are 5000 fish in the lake. (2 marks)