A movie theater sends out a coupon for 95% off the price of a ticket. Write an equation for the situation, where y is the pric
e 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.
A movie theater sends out a coupon for 95% off the price of a ticket, so the price of the ticket with the coupon is 100% - 95% = 5% of the original price.
Let
x = original price
y = price of the ticket with the coupon
Then
x - 100%
y - 5%
Write a proportion:
Cross multiply:
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)