Shaniece goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 4% is applied to the bill. Shaniece decides to leave a tip of 21% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Shaniece paid.

Answer 1

To find the total amount that Shaniece paid, we can break it down into parts:

1. Subtotal (xx dollars): This is the initial amount before tax and tip.
2. Tax: A tax of 4% is applied to the subtotal. The amount of tax can be calculated as: \[ \text{Tax} = 0.04 \cdot xx \]
3. Total after Tax: The total amount after tax will be the subtotal plus the tax: \[ \text{Total after Tax} = xx + 0.04 \cdot xx = xx(1 + 0.04) = xx \cdot 1.04 \]
4. Tip: Shaniece leaves a tip of 21% on the total amount after tax. The tip amount can be calculated as: \[ \text{Tip} = 0.21 \cdot (xx \cdot 1.04) \]
5. Total Amount Paid: Finally, to find the total amount that Shaniece paid, we add the total after tax and the tip: \[ \text{Total Amount Paid} = \text{Total after Tax} + \text{Tip} = (xx \cdot 1.04) + (0.21 \cdot (xx \cdot 1.04)) \]

Now simplifying the tip expression: \[ \text{Total Amount Paid} = xx \cdot 1.04 + 0.21 \cdot xx \cdot 1.04 \] \[ \text{Total Amount Paid} = xx \cdot 1.04(1 + 0.21) = xx \cdot 1.04 \cdot 1.21 \] \[ \text{Total Amount Paid} = xx \cdot 1.04 \cdot 1.21 = xx \cdot 1.2604 \]

Thus, the expression that represents the total amount that Shaniece paid, in terms of \( xx \), is: \[ \text{Total Amount Paid} = 1.2604 \cdot xx \]