Question

The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the festival. She only spent her money on ride tickets and admission into the festival. The price of 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 to calculate the cost for anyone who only pays for festival admission and rides
(c) Explain your answer to Part B.

Answer 1

Tickets cost $0.75t. Kendall bought 18 tickets, so you can substitute 18 for the variable t because it stands for the amount of tickets bought.

$0.75(18) = $13.50

Kendall spent a total of $33.50, so that means she spent $13.50 on tickets and the rest she spent on admission, so 33.50 - 13.50 = 20; she spent $20.00 on admission.

(a) The variable are t, amount of tickets bought, and a, admission price.

(b) The linear equation for anyone who only pays for festival admission and rides would look like: 0.75t + a.

(c) I made the linear equation 0.75t + a because first you would have to pay the admission fee (a), and then you would pay for EACH ticket (t). So t would be the changing variable depending on how many tickets a person would choose to buy.