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Question
the expression 12,585 (1 - x) gives the discounted price of a car, where x is the percent of the discount written in decimal form. what does the 12,585 represent in the expression? percent of the original price being paid percent of discount price of the car before the discount discounted price of the car
To determine what 12,585 represents, we analyze the discount formula structure. The general formula for discounted price is \( \text{Original Price} \times (1 - \text{Discount Rate}) \). Here, \( 12,585(1 - x) \) models the discounted price, where \( x \) is the discount rate (decimal). The term 12,585 must be the original price before discount because it is multiplied by \( (1 - x) \) (which adjusts for the discount) to get the discounted price. The other options are incorrect: "percent of the original price being paid" would relate to \( (1 - x) \), "percent of discount" is \( x \), and "discounted price" is the result of the expression, not 12,585.
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C. price of the car before the discount