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. PLEASE HELP ITS DUE TODAY!!!

Answer 1

X= amount of rides

Y=total price (33.50)

Equation: 0.75(18) + X = 33.50

13.50+ X=33.50

-13.50 -13.50

X=20.00

Admission=20.00

Answer 2

Part a)
`x=18\ tickets`,
`y=\$33.50`

Part b)
`y=0.75x+20`

Explanation:

Let

x------> the number of ride tickets.

k-----> constant that represent the cost for festival admission

y----> the total cost

we know that

`y=0.75x+k`

we have that

`x=18\ tickets`

`y=\$33.50`

substitute the values

`33.50=0.75(18)+k`

solve for k

`k=33.50-0.75(18)`

`k=\$20`

The linear equation to calculate the cost for anyone who only pays for festival admission and rides is equal to

`y=0.75x+20`