a movie theater sends out a coupon for 85% 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=

(use integers or decimals for any numbers in the expression).

Step-by-step explanation:

Given:

Original price of the ticket is

Price after using the coupon is

Coupon discount is 85% of

Therefore, the price after applying coupon is given as the difference of the original price and the coupon discount. That is,

The graph is shown below. The graph passes through the origin as the above relationship is a proportional relationship.

The line strictly remains in the first quadrant as both and 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 and positive.

the perimeter is increased by a factor of 2