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Nicolas has a coupon for a 60% discount at his favorite store. Is there a proportional relationship between the original price of an item and its price after the discount?

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Final answer:

Yes, there is a proportional relationship between the original price of an item and its price after the discount.

Step-by-step explanation:

Yes, there is a proportional relationship between the original price of an item and its price after the discount. When a discount of 60% is applied, the price after the discount is 40% of the original price. This means that the price after the discount is directly proportional to the original price, with a constant ratio of 40%.

For example, if the original price of an item is $100, the price after the discount would be $40 (40% of $100). If the original price is doubled to $200, the price after the discount would be $80 (40% of $200).

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