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: \[ \boxed{1.219x} \]