Question

Brandon goes to a restaurant and the subtotal on the bill was x dollars. A tax of 6% is applied to the bill. Brandon 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 Brandon paid.

Answer 1

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

1. **Calculate the tax on the subtotal**:
The tax is 6% of the subtotal \(x\).
\[
\text{Tax} = 0.06x
\]

2. **Find the total bill including tax**:
The total bill after including the tax will be the subtotal plus the tax.
\[
\text{Total bill} = x + 0.06x = 1.06x
\]

3. **Calculate the tip based on the total bill**:
The tip is 15% of the total bill. So, the tip will be:
\[
\text{Tip} = 0.15 \times (1.06x) = 0.159x
\]

4. **Calculate the total amount Brandon paid**:
The total amount paid will be the total bill plus the tip.
\[
\text{Total amount paid} = (1.06x) + (0.159x) = 1.06x + 0.159x
\]
Combine like terms:
\[
\text{Total amount paid} = 1.219x
\]

Thus, the expression that represents the total amount that Brandon paid is:
\[
\boxed{1.219x}
\]