Hailey goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 7% is applied to the bill. Hailey decides to leave a tip of 20% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Hailey paid.

Answer 1

To find the total amount that Hailey paid, we can break down the calculation into steps.

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

2. Calculate the total after tax: This is the subtotal plus the tax. \[ \text{Total after tax} = xx + 0.07 \times xx = xx(1 + 0.07) = xx \times 1.07 \]

3. Calculate the tip: The tip is 20% of the total after tax. \[ \text{Tip} = 0.20 \times (xx \times 1.07) = 0.20 \times 1.07 \times xx = 0.214 \times xx \]

4. Calculate the total amount paid: This is the total after tax plus the tip. \[ \text{Total amount paid} = \text{Total after tax} + \text{Tip} = (xx \times 1.07) + (0.214 \times xx) \]

5. Combine the terms: \[ \text{Total amount paid} = (1.07 + 0.214) \times xx = 1.284 \times xx \]

Thus, the expression in terms of \( xx \) that represents the total amount that Hailey paid is: \[ 1.284 \times xx \]