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 230 empty seats, costing them a total of $98,655. 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

It is given that total journey is 3000 miles.Total empty seats=230Total cost of empty…

Answered: The following table shows the amount…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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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
2. Many municipalities offer a variety of fare options for public transportation. This allows high use travelers a choice to pay a lower fare as a benefit of being a high user. The Transit Co. of Blue City, TX has three separate monthly bus fare options to choose from. The first is a standard “per ride" fare of $1.25 per ride. The second allows the rider to purchase a discount card. The cardholder pays $21 at the start of the month plus a fee of S0.50 per ride. Option 3 is a flat fee option where the rider pays $40 for thee month and may ride any bus at no additional cost during the month. Define the variable x to be the number of rides you take each month. Express each option as a function of x. Graph all three functions on the same set of axes. What is the break even number of rides between the options? If you only take 10 rides a month what option should you choose? If you take 40 rides a month what option should you choose? Watch the video posted in the Capstone #1 area involving…
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A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars) (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…
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.] United Airline American JetBlue Southwest Continental 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 270 empty seats, costing them a total of $114,990. 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 120 X empty seats American empty seats Southwest empty seats
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 UnitedContinental 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 240 empty seats, costing them a total of $102,375. 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 seatsAmerican empty seatsSouthwest empty seats

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