Francisco goes to a store and buys an item that costs xx dollars. He has a coupon for 15% off, and then a 8% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Francisco paid at the register.

Answer 1

To express the total amount that Francisco paid at the register, we will follow these steps:

1. Calculate the discount: Since he has a coupon for 15% off the original price \( x \), the amount of the discount is: \[ 0.15x \]

   The discounted price after applying the coupon will be: \[ x - 0.15x = 0.85x \]

2. Add tax: After applying the discount, an 8% tax is added to the discounted price. The tax on the discounted price \( 0.85x \) is: \[ 0.08 \times 0.85x = 0.068x \]

   Therefore, the total amount Francisco pays after tax will be the discounted price plus the tax: \[ 0.85x + 0.068x \]

3. Combine the terms: Now we combine the two amounts: \[ 0.85x + 0.068x = (0.85 + 0.068)x = 0.918x \]

Thus, the expression that represents the total amount that Francisco paid at the register is: \[ 0.918x \]