1. The Cajun Heartland State Fair charges $1.25 per ticket for the rides. Johnny bought 25 tickets for the rides and spent a total of $43.75 at the fair. Johnny spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets. (a) Define your variables. (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 your answer to Part 1b

Let number of ride tickets = x tickets and

Total cost of fair admission and ride = $y.

Given cost of each ticket = $1.25 and

Number of tickets = 25 tickets.

Total Cost of 25 ticket = Number of tickets * cost of each ticket = 25 * 1.25 = $31.25.

Total money spent = $43.75.

Total money spent = Fair admission + Total Cost of 25 ticket

43.75 = Fair addmission + 31.35.

Subtracting 31.25 from both sides, we get

43.75-31.35 = y - 31.35 - 31.35.

12.50 = Fair addmission charge

Therefore, Fair addmission charge = $12.50.

We know slope, intercept form

y = mx+b.

Where, is m the slope (cost of each ticket) and b is the y-intercept (Fair addmission charge)

Plugging values in slope-intercept form, we get

y = 1.25 x + 12.50.

a) We took x for number of tickets for the rides, and y for total cost of ride tickets and fair admission.

b) We got equation y = 1.25 x + 12.50.

c) For the equation y = 1.25 x + 12.50, fix charge for fair admission is $12.50 and cost of each ride ticket is $1.25. Total cost (y) of ride tickets and fair admission will be 1.25 times x number of tickets + $12.50 fair admission charges.