Brody goes to a store and buys an item that costs xx dollars. He has a coupon for 30% 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 Brody paid at the registe

Answer 1

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

1. Calculate the discount: Brody has a 30% off coupon. The amount of discount can be calculated as: \[ \text{Discount} = 0.30x \] Therefore, the discounted price is: \[ \text{Discounted Price} = x - \text{Discount} = x - 0.30x = 0.70x \]

2. Calculate the tax: A 6% tax is applied to the discounted price: \[ \text{Tax} = 0.06 \times \text{Discounted Price} = 0.06 \times 0.70x = 0.042x \]

3. Calculate the total amount paid: The total amount that Brody pays at the register is the discounted price plus the tax: \[ \text{Total Amount} = \text{Discounted Price} + \text{Tax} = 0.70x + 0.042x \]

Combining the two parts: \[ \text{Total Amount} = (0.70 + 0.042)x = 0.742x \]

Thus, the expression that represents the total amount that Brody paid at the register is: \[ \boxed{0.742x} \]