You and your friend Alex are looking to buy tickets for a big concert. You know that Ticket System…

Question:

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You and your friend Alex are looking to buy tickets for a big concert. You know that

Ticket System charges $22 per person plus a $10 surcharge per transaction. You

and Alex think you can get a better deal at Max Tickets or Ticket Meister, both of

which are also selling tickets for the event. Pick one of these two sellers, and use

your knowledge of linear systems to compare it with Ticket System and figure out

who has the better deal.

1. Which company did you select? (1 point) 1. Which company did you select? (1 point)

Comparing the Prices

2. First, write an equation that represents the cost of tickets from Ticket System. (1

point)

3. Next, write an equation that represents the cost of tickets from the company you

chose. (2 points) 4. Some friends have heard about the concert, and now you might have to buy up to

five tickets. Use your equations to create a price table for each company. (4 points:

2 points for each company)

5. Now graph the ticket prices for each company on the same pair of axes to

compare the values. (4 points: 2 points for each line) 130

120

110

100

90

80

70

60

50

40

30

20

10

0

Analyzing Your Data

2

32

4

5

Use the price table and your graph to answer the following questions. 6. Why is it helpful to have both lines on the same graph? (2 points)

7. How many people have to buy tickets for the two companies to have the same

price? How did you find your answer?

(2 points: 1 point for a correct solution, 1 point for an appropriate

explanation) 8. When does Ticket System give you a better price? (2 points)

A New Offer

9. Another friend already bought tickets, but now she can’t go. She offers to sell you

4 tickets for $100. Is this a better deal than either of the deals you have already

analyzed? Explain how you know. (2 points: 1 point for a correct response, 1

point for appropriate explanation)

Expert Answer:

Answer rating: 100% (QA)

To determine which ticket vendor offers the better deal we ll start by setting up equations for each company comparing them creating a price table and plotting the data on a graph I ll walk you throug

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