# 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 AirfaresProfit (thousandsdollars)Ticket Price(dollars)200308025035203760300350382040037004503380(a) Find a quadratic model for the data. (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 decimal places.)-142.771X thousand dollars per dollar(c) Use the 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.)

Question help_outlineImage TranscriptioncloseThe 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 Profit (thousands dollars) Ticket Price (dollars) 200 3080 250 3520 3760 300 350 3820 400 3700 450 3380 (a) Find a quadratic model for the data. (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 decimal places.) -142.771 X thousand dollars per dollar (c) Use the 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.) fullscreen
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Step 1

To fit a quadratic function for the given data

Step 2

The idea is to choose constants A , B and C such that P(t) = A+Bt+Ct^2 best approximates the given data (sum of the squares of errors is minimum for this choice of A, B and C)

Step 3

(a) Using a suitable online quadratic regression calculator with ...

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