Question

Algebra 2

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, which charges $20 per ticket and surcharges $16 for each transaction. Or Ticket Meister, which charges $25 for a ticket and surcharges $4 per transaction, 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.

Which company did you select?

>>Comparing The Prices
Write an equation that represents the cost of tickets from Ticket System.

Write an equation that represents the cost of tickets from the company you choose.

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 tablle for each company.

Graph the ticket prices for each company on the same pair of axes to compare the values.

>>Analyzing Your Data
Why is it helpful to have both lines on the same graph?

How many people have to buy tickets for the two companies to have the same price? How did you find your answer?

When does Ticket System give you a better price?

>>A New Offer
Another friend already bought tickets, but now she can't go. She offers to sells you 4 tickets for $100. Is this a better deal than either of the deals you have already analyzed? Explain how you know.

Answer 1

no

Answer 2

nice

Answer 3

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Answer 4

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