Xochitl goes to a store and buys an item that costs xx dollars. She has a coupon for 10% off, and then a 6% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Xochitl paid at the register.

Answer 1

To find the total amount Xochitl paid at the register, we will break it down into steps:

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

2. Calculate the tax: Next, a 6% tax is added to the discounted price. The amount of tax on the discounted price \(0.90x\) is: \[ 0.06 \times 0.90x = 0.054x \]

3. Calculate the total amount paid: The total amount paid at the register is the discounted price plus the tax: \[ \text{Total amount} = 0.90x + 0.054x \] Combining these terms: \[ \text{Total amount} = (0.90 + 0.054)x = 0.954x \]

Thus, the expression representing the total amount that Xochitl paid at the register is: \[ 0.954x \]