Question

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:
\[
\text{Total Amount Paid} = 1.2773 \cdot xx
\]