6.) [5 points] A developer is planning to build housing, ofce and stores in the small community of Stratton to satisfy increased demand. In their presentation to the Stratton Council they use the function P to predict the town's population (in thousands) t years from now. P(t) _ 35:2 + 25: + 20 ' 3:2 + 5t + 10 a. What is the current population of Stratton? Use appropriate units and round your answer to the nearest whole number. b b. What does the developer predict the population of Stratton will be in 5 years? c. The developer claims that using P(t) as a model, the population of Stratton will reach approximately 12,000 in the long run. Use P(t) to nd the population of Stratton in the long run and explain how your work supports the developer's claim