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Sergeeva-Olga [200]
3 years ago
9

 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 pri

ce 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).

Mathematics
1 answer:
ra1l [238]3 years ago
3 0

Answer:

y=0.15x

Step-by-step explanation:

Given:

Original price of the ticket is x

Price after using the coupon is y

Coupon discount is 85% of x=0.85x

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

y=x-0.85x=x(1-0.85)=0.15x\\\therefore y=0.15x

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

The line y=0.15x strictly remains in the first quadrant as both x and y 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 x and y positive.

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