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The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use x to represent the number of ride tickets and y to represent the total cost.
Find the cost of admission to the fair. Explain how you found the cost of admission.
Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
Explain what the coefficient of x and the constant of your linear equation represents.

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carlosego

Answer:

Admission to the fair = $ 18

[tex]y = 2.50x +18[/tex].

Where the coefficient of x represents the cost of each ticket and the constant represents the cost of admission to the fair.

Step-by-step explanation:

The total money Henry spent was $ 55.50

If Henry only spent the money on the tickets for the rides and at the entrance to the fair, then we know that:

Bought 15 tickets at 2.5 $

Therefore the price of the admission to the fair is the total expense ($ 55.50) minus the expense in the tickets for the rides ($ 2.50 * 15)

55.50 - 15 * 2.50 = 18

So:

Admission to the fair = $ 18

Ticket for the rides = $ 2.50

So if we call y at the total cost and x the number of tickets for the rides:

[tex]y = 2.50x +18[/tex].

This is a linear equation that represents the total cost.  

Where the coefficient of x represents the cost of each ticket and the constant represents the cost of admission to the fair.