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 United Continental American JetBlue Southwest Cost (¢) 14.9 14.6 11.9 12.4 Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 180 empty seats, costing them a total of $75,690. 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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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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 United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 180 empty seats, costing them a total of $75,690. 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?
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