Question

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:
\[
\boxed{0.742x}
\]