Question

Tanisha goes to a restaurant and the subtotal on the bill was x dollars. A tax of 5% is applied to the bill. Tanisha decides to leave a tip of 15% on the entire bill (including the tax). Write an expression in terms of x that represents the total amount that Tanisha paid.

Answer 1

To determine the total amount that Tanisha paid, we need to calculate the tax and the tip based on the subtotal amount \( x \).

1. **Calculate the tax:**
The tax is 5% of the subtotal \( x \). This can be expressed as:
\[
\text{Tax} = 0.05x
\]

2. **Calculate the total bill including tax:**
The total amount after adding the tax is:
\[
\text{Total with tax} = x + \text{Tax} = x + 0.05x = 1.05x
\]

3. **Calculate the tip:**
The tip is 15% of the total amount (which includes the tax). Thus, the tip can be expressed as:
\[
\text{Tip} = 0.15(1.05x)
\]

4. **Calculate the total amount paid:**
The total amount paid by Tanisha is the sum of the total bill (including tax) and the tip:
\[
\text{Total amount paid} = \text{Total with tax} + \text{Tip} = 1.05x + 0.15(1.05x)
\]

We can simplify this expression:
\[
\text{Total amount paid} = 1.05x + 0.15 \cdot 1.05x = 1.05x + 0.1575x = (1.05 + 0.1575)x = 1.2075x
\]

Therefore, the expression that represents the total amount that Tanisha paid is:
\[
\boxed{1.2075x}
\]