Amovie theater sends out a coupon for 95% 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.

y = 0.05x

Step-by-step explanation:

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)

f

step-by-step explanation:

f