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1. The county fair charges $1.50 per ticket for the rides. Jermaine bought 20 tickets for the rides and spent a
total of $48.75 at the fair. Jermaine 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.

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  • PiaDeveau


    Cost per ticket for the rides = $1.50.

    a) Let us assume the number of ride tickets = x.

    Total cost of x number of rides = y.

    Total amount spent = $48.75.

    Amount spent on 20 tickets = 20 × 1.50 = $30

    Fair admission charge = Total amount spent - Amount spent on 20 tickets

    =  $48.75 - $30 = $18.75.

    Let us apply slope-intercept form y=mx+b to get the equation.

    Total cost of x number of tickets at the rate $1.50 each ticket = 1.50x.

    Total cost of fair = Total cost of x number of tickets + Fair admission charge.

    b) y = 1.50x + 18.75.