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

Answer 1

To find the total amount that Adam paid at the register, we can follow these steps:

1. Calculate the discount: Adam has a coupon for 30% off the original price, \( x \). The amount of the discount is: \[ 0.30x \]

   Therefore, the discounted price is: \[ x - 0.30x = 0.70x \]

2. Calculate the tax on the discounted price: After applying the discount, a tax of 7% is added to the discounted price. The tax amount on the discounted price of \( 0.70x \) is: \[ 0.07 \times 0.70x = 0.049x \]

3. Calculate the total amount paid: The total amount that Adam paid at the register is the discounted price plus the tax: \[ 0.70x + 0.049x = (0.70 + 0.049)x = 0.749x \]

Thus, the total amount that Adam paid at the register, in terms of \( x \), is: \[ \boxed{0.749x} \]