Camila goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 7% is applied to the bill. Camila decides to leave a tip of 16% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Camila paid.

Answer 1

To find the total amount that Camila paid, we need to consider both the tax and the tip based on the subtotal \( xx \).

1. Calculate the tax: The tax is 7% of the subtotal \( xx \). This can be expressed as: \[ \text{Tax} = 0.07 \times xx \]

2. Calculate the total bill including tax: The total bill after adding the tax is: \[ \text{Total with tax} = xx + \text{Tax} = xx + 0.07 \times xx \] This can be simplified as: \[ \text{Total with tax} = xx (1 + 0.07) = 1.07 \times xx \]

3. Calculate the tip: Camila leaves a tip of 16% on the entire bill (which is the subtotal plus tax). The tip can be calculated as: \[ \text{Tip} = 0.16 \times (1.07 \times xx) = 0.16 \times 1.07 \times xx \]

4. Calculate the total amount paid: Finally, the total amount Camila paid is the total with tax plus the tip: \[ \text{Total amount paid} = \text{Total with tax} + \text{Tip} \] \[ = 1.07 \times xx + 0.16 \times 1.07 \times xx \] Factoring \( xx \) out, we get: \[ = xx (1.07 + 0.16 \times 1.07) \] To simplify \( 1.07 + 0.16 \times 1.07 \), we calculate: \[ 0.16 \times 1.07 = 0.1712 \] Therefore: \[ 1.07 + 0.1712 = 1.2412 \]

Now we have the final expression: \[ \text{Total amount paid} = 1.2412 \times xx \]

So, the expression that represents the total amount that Camila paid is: \[ 1.2412 \times xx \]