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 Profit (thousands dollars) (dollars) 200 3080 250 3520 300 3760 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 $250 to $300. (Round your answer to three decimal places.) 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.) thousand dollars per dollar

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
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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
Profit (thousands
dollars)
(dollars)
200
3080
250
3520
300
3760
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 $250 to $300. (Round your answer to
three decimal places.)
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.)
thousand dollars per dollar
Transcribed Image Text: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 Profit (thousands dollars) (dollars) 200 3080 250 3520 300 3760 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 $250 to $300. (Round your answer to three decimal places.) 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.) thousand dollars per dollar
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