Gabriella goes to a store and buys an item that costs xx dollars. She has a coupon for 35% 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 Gabriella paid at the register.

Answer 1

To calculate the total amount that Gabriella paid at the register after using her coupon and including tax, we can break down the steps:

1. Calculate the discount amount:
   Gabriella has a coupon for 35% off the item that costs \( x \) dollars. The discount amount is: \[ 0.35x \]

2. Calculate the discounted price:
   The price after applying the discount is: \[ x - 0.35x = 0.65x \]

3. Calculate the tax on the discounted price:
   An 8% tax is then added to the discounted price. The tax amount is: \[ 0.08 \times (0.65x) = 0.052x \]

4. Calculate the total amount paid:
   To find the total amount Gabriella paid at the register, we add the tax to the discounted price: \[ \text{Total amount paid} = \text{Discounted price} + \text{Tax amount} \] \[ \text{Total amount paid} = 0.65x + 0.052x = 0.702x \]

So, the expression for the total amount that Gabriella paid at the register is: \[ 0.702x \]