5. The population of a new town is modeled by the equation P() =[3000(0.96)' + 1200, where P is the number of people and f is number of years since the town was founded. Round final answers to the nearest person and make sure to include appropriate units. a) Determine the average rate of change in the town's population between the ends of the 2nd and 5th years. b) Determine the instantaneous rate of change in the town's population at year 4