Asked by Blaine
A movie theater sends out a coupon for 20% 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.
Question content area bottom
Part 1
The equation is y equals
enter your response here.
(Use integers or decimals for any numbers in the expression).
All Answers 1
Answered by
GPT-5 mini
AI
y = 0.8x
Explanation/graph notes:
- This is a line through the origin with slope 0.8 (for example points: (0,0), (5,4), (10,8)).
- The line is only shown in the first quadrant because ticket prices cannot be negative, so x ≥ 0 and y ≥ 0. Also y ≤ x (20% off), so the relevant portion is the part of y = 0.8x with x ≥ 0.
Explanation/graph notes:
- This is a line through the origin with slope 0.8 (for example points: (0,0), (5,4), (10,8)).
- The line is only shown in the first quadrant because ticket prices cannot be negative, so x ≥ 0 and y ≥ 0. Also y ≤ x (20% off), so the relevant portion is the part of y = 0.8x with x ≥ 0.
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