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

(a)

Let's assume

y is total cost

x is number of ride tickets

(b)

Since, this is linear relationship

so, we can assume equation as

$y=mx+b$

The Fall Festival charges $0.75 per ticket for the rides

so,

$m=0.75$

we can plug it

$y=0.75x+b$

Kendall bought 18 tickets for rides and spent a total of $33.50 at the festival

so, we have

at x=18 , y=33.50

we can use it to find b

$33.5=0.75*18+b$

now, we can solve for b

$b=20$

we can plug it back

and we get

$y=0.75x+20$

(c)

we got

$y=0.75x+20$

here ,

y is the cost for anyone who only pays for festival admission and rides

x is number of admission

so, our equation will give total cost