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

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Chapter2: Second-order Linear Odes
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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
Transcribed Image Text: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+3x+y=195

 

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