Answer:
[tex]y=0.15x[/tex]
Step-by-step explanation:
Given:
Original price of the ticket is [tex]x[/tex]
Price after using the coupon is [tex]y[/tex]
Coupon discount is 85% of [tex]x=0.85x[/tex]
Therefore, the price after applying coupon is given as the difference of the original price and the coupon discount. That is,
[tex]y=x-0.85x=x(1-0.85)=0.15x\\\therefore y=0.15x[/tex]
The graph is shown below. The graph passes through the origin as the above relationship is a proportional relationship.
The line [tex]y=0.15x[/tex] strictly remains in the first quadrant as both [tex]x[/tex] and [tex]y[/tex] can't be negative as they represent price of tickets and price can never have negative values. Hence, only the first quadrant has both the values of [tex]x[/tex] and [tex]y[/tex] positive.
