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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 far admission. The price of the fair admission is the same for everyone. Use x to represent the number of tide tickets and y to represent the total cost.
(A) Find the cost of admission to the fair. Explain how you found the cost of admission.
(B) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
(C) Explain what the coefficient on x and the constant of your linear equation represent.

Respuesta :

Answer:

(A)  $18

(B)   [tex]y=2.50x+18[/tex]

(C)   Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.

Step-by-step explanation:

(A)

The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.

So, the total cost of the 15 tickets will be:  [tex](\$2.50*15)= \$37.50[/tex]

He spent total $55.50 on ride tickets and fair admission.

So, the cost of admission to the fair will be:  [tex](\$55.50-\$37.50)= \$18[/tex]

(B)

If [tex]x[/tex] represents the number of ride tickets and [tex]y[/tex] represents the total cost, then the cost for [tex]x[/tex] number of ride tickets is [tex]\$2.50x[/tex]

So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be:   [tex]y= 2.50x+18[/tex]

(C)

In the above linear equation, coefficient of x-term is 2.50, which represents the cost for each ride ticket.

And the constant term is 18, which represents the cost of admission to the fair.

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