The table gives the price t, in dollars, of a round-trip flight from Denver to Chicago on a certain airline and the corresponding monthly profit P for that airlin that route. Round-trip Airfares Ticket Price (dollars) 200 250 300 350 400 450 Profit (thousand dollars) 3080 3520 3760 3820 3700 3380 (a) Find the function for the quadratic model that gives the profit in thousand dollars, where t is the ticket price in dollars, with data from 200 ≤ t ≤ 450. (Round all numerical values to three decimal places.) P(t) = (b) Use the model to calculate the average rate of change of profit when the ticket price rises from $200 to $250. (Round your answer to three dec places.) thousand dollars per dollar

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