Xin goes to a store and buys an item that costs xx dollars. She has a coupon for 10% off, and then a 7% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Xin paid at the register.

Answer 1

To find the total amount that Xin pays at the register after applying the coupon and adding tax, we can follow these steps:

1. Calculate the Discounted Price: Xin has a coupon for 10% off. The amount of the discount is \( 0.10x \). Therefore, the discounted price is: \[ x - 0.10x = 0.90x \]

2. Calculate the Sales Tax on the Discounted Price: A 7% tax is applied to the discounted price. The amount of tax on the discounted price is: \[ 0.07 \times (0.90x) = 0.063x \]

3. Total Amount Paid: The total amount Xin pays at the register is the discounted price plus the tax: \[ \text{Total} = \text{Discounted Price} + \text{Tax} = 0.90x + 0.063x \]

   Combining these terms: \[ \text{Total} = (0.90 + 0.063)x = 0.963x \]

Thus, the expression that represents the total amount that Xin paid at the register is: \[ 0.963x \]