Ryan goes to a store and buys an item that costs xx dollars. He has a coupon for 5% 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 Ryan paid at the register.

Question

Answer

Answer 1

To determine the total amount Ryan paid at the register after applying the discount and adding tax, follow these steps:

1. Calculate the discount from the item price: \[ \text{Discounted Price} = x - 0.05x = 0.95x \] (This represents the price after applying the 5% coupon.)

2. Calculate the amount of tax added to the discounted price: \[ \text{Tax} = 0.07 \times (0.95x) = 0.0665x \]

3. Calculate the total amount paid after adding the tax to the discounted price: \[ \text{Total Amount Paid} = \text{Discounted Price} + \text{Tax} = 0.95x + 0.0665x \]

4. Combine the terms: \[ \text{Total Amount Paid} = (0.95 + 0.0665)x = 1.0165x \]

Thus, the expression that represents the total amount Ryan paid at the register is: \[ \boxed{1.0165x} \]