Question

1. 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.

(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 only pays for ride tickets and fair admission.
(c) Explain what the coefficient of x and the constant of your linear equation represents.
Answer:

Answer 1

A) $18

B)
`y=2.50x+18`

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

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:
`(\$2.50*15)=\$37.50`

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

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

(B)

If
`x` represents the number of ride tickets and
`y` represents the total cost, then the cost for
`x` number of ride tickets is
`\$2.50x`

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

(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.