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To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $174.45. The cost for 8 tickets is $271.95. Write and solve a linear equation to find the total cost to order 12 tickets.

Respuesta :

cannonpatterson3

Answer:

(34.89 x 6) + (33.99 x 6) = 413.28

Step-by-step explanation:

1. Find the unit rate of each ticket if the deal is 5 tickets. 174.45 ÷ 5 = 34.89

2. Find the unit rate of each ticket if the deal is 8 tickets. 271.95 ÷ 8 = 33.99

3. Now that we know our unit rates for the different deals, generate your    equation.

raphealnwobi

The total cost to order 12 tickets is $378.05

Let y represent the cost for x number of tickets.

Since the cost for 5 tickets is $174.45, it can be represented by the point (5, 174.45).

The cost for 8 tickets is $271.95, it can be represented by the point (8, 271.95).

Hence the linear equation showing the relationship between x and y is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-174.45=\frac{271.95-174.45}{8-5}(x-5) \\\\y-174.45=32.5x-162.5\\\\y=32.5x-11.95[/tex]

y = 32.5x - 11.95

The cost for 12 tickets is:

y=32.5(12) - 11.95 = 378.05

Hence the total cost to order 12 tickets is $378.05

Find out more at: https://brainly.com/question/13911928

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