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.

(A)  $18

(B)  

(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:  

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

So, the cost of admission to the fair will be:  

(B)

If represents the number of ride tickets and represents the total cost, then the cost for number of ride tickets is

So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be:  

(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.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

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step-by-step explanation:

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