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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!!!

Respuesta :

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

calculista

Answer:

Part a) [tex]x=18\ tickets[/tex], [tex]y=\$33.50[/tex]

Part b) [tex]y=0.75x+20[/tex]

Step-by-step explanation:

Let

x------>  the number of ride tickets.

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

y----> the total cost

we know that

[tex]y=0.75x+k[/tex]

we have that

[tex]x=18\ tickets[/tex]

[tex]y=\$33.50[/tex]

substitute the values

[tex]33.50=0.75(18)+k[/tex]

solve for k

[tex]k=33.50-0.75(18)[/tex]

[tex]k=\$20[/tex]

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

[tex]y=0.75x+20[/tex]

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