The county fair charges $3.25 per ticket for the rides. Henry bought 8 tickets for the rides and spent a total of $39.50 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 pays for ride tickets and fair admission.

(c) Explain what the coefficient on x and the constant of your linear equation represent.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost per ticket = $3.25

Number of ride tickets purchased (x) = 8

Total amount spent at the fair (y) = $39.50

Henry's spending was only on ticket rides and fair admission

a) Find the cost of admission to the fair. Explain how you found the cost of admission.

Total spending = amount spent on ticket rides + cost of admission to fair

$39.50 = 8(3.25) + cost of admission

39.50 = 26 + cost of admission

Cost of admission = (39.50 - 26) = $13.50

(b) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.

Since cost of admission is the same for everyone :

Total cost = 3.25x + 13.50

y = 3.25x + 13.50

(c) Explain what the coefficient on x and the constant of your linear equation represent.

3.25 = cost per ride ticket

13.50 = cost of admission to fair

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