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.

Answer 1

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

1. Calculate the discount using the coupon: The discount is 5% of \( x \). Therefore, the discount amount is: \[ 0.05x \] After applying the discount, the price before tax becomes: \[ x - 0.05x = 0.95x \]

2. Calculate the tax on the discounted price: The tax is 7% of the discounted price, which is \( 0.95x \). The tax amount is: \[ 0.07 \times 0.95x = 0.0665x \]

3. Calculate the total amount paid: The total amount Ryan pays at the register includes the discounted price plus the tax: \[ 0.95x + 0.0665x \] Combining the two expressions gives: \[ (0.95 + 0.0665)x = 1.0165x \]

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