The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then s 1.] United Continental 14.9 Airline Cost (e) 14.6 11.9 Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 195 empty seats, costing them a as American, how many empty seats did each of these three airlines carry on its flight? United Continental American Southwest American JetBlue Southwest empty seats empty seats empty seats 12.4

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then s 1.] United Continental 14.9 Airline Cost (e) 14.6 11.9 Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 195 empty seats, costing them a as American, how many empty seats did each of these three airlines carry on its flight? United Continental American Southwest American JetBlue Southwest empty seats empty seats empty seats 12.4

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example
1.]
Airline
Cost (4)
United
Continental
14.9
American
14.6
JetBlue
11.9
Southwest
12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 195 empty seats, costing them a total of $82,725. If United Continental had three times as many empty seats
as American, how many empty seats did each of these three airlines carry on its flight?
United Continental
empty seats
American
empty seats
Southwest
empty seats

Expert Solution

Step 1

Total distance travelled is 3000 miles with 195 empty seats.

The total cost is $82725.

Let the number of empty seats in American is x.

Therefore the number of empty seats in United continental be 3x.

The number of empty seats in Southwest is y.

$x + 3 x + y = 195$

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