Question

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.

Answer 1

Answer:

(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.

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:  $(\ 2.50*15)= \ 37.50$

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.