MATH SOLVE

2 months ago

Q:
# A movie theater sends out a coupon for 10% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant. The equation is y =

Accepted Solution

A:

Answer:y = 0.9xStep-by-step explanation:A movie theater sends out a coupon for 10% off the price of a ticket, so the price of the ticket with the coupon is 100% - 10% = 90% of the original price.Let x = original pricey = price of the ticket with the couponThen x - 100%y - 90%Write a proportion:[tex]\dfrac{x}{y}=\dfrac{100}{90}[/tex]Cross multiply:[tex]100y=90x\\ \\y=0.9x[/tex]Since the original price and final price are always greater than 0, then the graph of this equation is in the first quadrant (see attached diagram)