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 airline on 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 a quadratic model for the data. (Be sure to use t as the independent variable. Round all numerical values to three decimal places.) P(t) = 0.001-1.447t+747.447 x dollars x where t dollars is the ticket price, data from 200 t 450. (b) Use the unrounded model to calculate the average rate of change of profit when the ticket price rises from $300 to $350. (Round your answer to three decimal places.) 1.2 thousand dollars per dollar (c) Use the unrounded model to calculate the average rate of change of profit when the ticket price rises from $350 to $400. (Round your answer to three decimal places.) X thousand dollars per dollar 2.4

table gives the perce t, in dotlon, of a round-trip fight from Denver to Chicago on a certain airtine and the corresponding monthly. profit P for that airtine on that route. (a) Find a quadratic model for the data. (Be sure to use t as the independent variable. Round all numerical valves to three decimal ptaces:) (b) Use the unrounded model to calculate the average rate of change of profie when the bicket price rises from 5300 to $350, (Round your answer to thee decimal places) theusand dollars per dollar. x thousand doilers per doliar