Bo goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 9% is applied to the bill. Bo decides to leave a tip of 20% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Bo paid.

Answer 1

To calculate the total amount that Bo paid, we can break down the steps:

1. Calculate the tax: The tax is 9% of the subtotal (xx dollars). \[ \text{Tax} = 0.09 \times xx \]

2. Calculate the total after tax: To find this, we add the tax to the subtotal. \[ \text{Total after tax} = xx + 0.09 \times xx = xx(1 + 0.09) = xx \times 1.09 \]

3. Calculate the tip: Bo leaves a tip of 20% on the total after tax. \[ \text{Tip} = 0.20 \times (xx \times 1.09) \]

4. Calculate the total amount paid: This is the total after tax plus the tip. \[ \text{Total amount paid} = \text{Total after tax} + \text{Tip} \] \[ \text{Total amount paid} = xx \times 1.09 + 0.20 \times (xx \times 1.09) \] \[ \text{Total amount paid} = xx \times 1.09 + 0.20 \times xx \times 1.09 \] \[ \text{Total amount paid} = xx \times 1.09 \times (1 + 0.20) \] \[ \text{Total amount paid} = xx \times 1.09 \times 1.20 \] \[ \text{Total amount paid} = xx \times 1.308 \]

Therefore, the expression that represents the total amount Bo paid is: \[ \boxed{1.308 \times xx} \]