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)200308025035203003760350382040037004503380(a) Find a quadratic model for the data. (Round all numerical values to three decimal places.)-0.037225.529t - 527.143P(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.)8.8 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.)

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Asked Sep 30, 2019
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i am having trouble with part c i have one more chance to get it correct

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
Profit (thousands
dollars)
Ticket Price
(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.)
-0.037225.529t - 527.143
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.)
8.8 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.)
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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 Profit (thousands dollars) Ticket Price (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.) -0.037225.529t - 527.143 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.) 8.8 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.)

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Expert Answer

Step 1

Part (c)

To find the average rate of change of profit when the ticket price rises from $350 to $400.

Step 2

Formula used: The average rate of change

f(b)-f(a)
b-a
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f(b)-f(a) b-a

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Step 3

Here, f(a) = 3820, f(b) = 3700, a = 350 and b = 400

...
f(b)-f(a)
b -а
3700 3820
400 350
-120
50
-2.400
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f(b)-f(a) b -а 3700 3820 400 350 -120 50 -2.400

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