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 register.

Answer 1

To calculate the total amount that Brody paid at the register after using his coupon and accounting for sales tax, we'll break it down into steps:

1. Calculate the amount after the coupon: He has a coupon for 30% off the original price \( x \). The amount saved with the coupon is \( 0.30x \), so the discounted price is:

\[ \text{Discounted Price} = x - 0.30x = 0.70x \]

2. Calculate the sales tax: After applying the coupon, a 6% tax is added to the discounted price. The amount of tax on the discounted price is:

\[ \text{Tax} = 0.06 \times (0.70x) = 0.042x \]

3. Calculate the total amount paid: The total amount that Brody pays at the register is the discounted price plus the tax:

\[ \text{Total Amount Paid} = \text{Discounted Price} + \text{Tax} = 0.70x + 0.042x \]

Combining these terms gives:

\[ \text{Total Amount Paid} = (0.70 + 0.042)x = 0.742x \]

So, the expression representing the total amount that Brody paid at the register is:

\[ \boxed{0.742x} \]