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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).

User InitJason
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Answer:


y=0.15x

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.

A movie theater sends out a coupon for 85​% off the price of a ticket. Write an equation-example-1
User Jicaar
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