Zendaya goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 9% is applied to the bill. Zendaya decides to leave a tip of 17% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Zendaya paid.

Answer 1

To find the total amount that Zendaya paid, we can break it down into steps.

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

2. Calculate the Total After Tax: The total after tax can be found by adding the tax to the subtotal. \[ \text{Total After Tax} = xx + 0.09 \cdot xx = xx(1 + 0.09) = xx \cdot 1.09 \]

3. Calculate the Tip: The tip is 17% of the total after tax. \[ \text{Tip} = 0.17 \cdot (\text{Total After Tax}) = 0.17 \cdot (xx \cdot 1.09) \]

4. Calculate the Total Amount Paid: The total amount paid is the total after tax plus the tip. \[ \text{Total Amount Paid} = \text{Total After Tax} + \text{Tip} \] Substituting the values we calculated: \[ \text{Total Amount Paid} = (xx \cdot 1.09) + (0.17 \cdot (xx \cdot 1.09)) \]

   This can be factored: \[ \text{Total Amount Paid} = xx \cdot 1.09 \cdot (1 + 0.17) = xx \cdot 1.09 \cdot 1.17 \]

5. Final Expression: Therefore, the total amount that Zendaya paid can be expressed as: \[ \text{Total Amount Paid} = xx \cdot 1.09 \cdot 1.17 \]

Calculating \( 1.09 \cdot 1.17 \): \[ 1.09 \cdot 1.17 = 1.2773 \]

So the final expression for the total amount Zendaya paid is: \[ \text{Total Amount Paid} = 1.2773 \cdot xx \]