Question

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. Define your variables. Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission. Explain your answer to Part 1b.

Answer 1

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.