Question

Lucy goes to a restaurant and the subtotal on the bill was x dollars. A tax of 4% is applied to the bill. Lucy decides to leave a tip of 22% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Lucy paid.

Answer 1

To find the total amount that Lucy paid, add the subtotal, tax amount, and tip amount together. The total amount is x + 0.04x + 0.2288x = 1.2688x.

Step-by-step explanation:

Let's break down the problem step by step.

1. First, calculate the amount of tax by multiplying the subtotal by 0.04 (the tax rate). The tax amount is 0.04x.
2. Next, add the tax amount to the subtotal to find the total before the tip. The total before the tip is x + 0.04x = 1.04x.
3. Finally, calculate the tip by multiplying the total before the tip by 0.22 (tip rate). The tip amount is 0.22(1.04x) = 0.2288x.

To find the total amount that Lucy paid, add the subtotal, tax amount, and tip amount together. The total amount is x + 0.04x + 0.2288x = 1.2688x.

Answer 2

Answer: 1.2688x

Step-by-step explanation:

Bill plus tax is equal to

`(1+.04)(x)\\ =1.04x`

tip added on

`(1.04x) ( 1.22) = 1.2688x`