Question

Katherine goes to a restaurant and the subtotal on the bill was a dollars. A tax of 6%

is applied to the bill. Katherine decides to leave a tip of 17% on the entire bill
(including the tax). Write an expression in terms of a that represents the total
amount that Katherine paid.

Answer 1

1.2402x

You need to add your total after tip and total after tax

Answer 2

To calculate the total amount Katherine paid, calculate 6% tax on the subtotal, add it to the subtotal to get the total before tip, then add a 17% tip on the entire bill. The total amount paid is then found by the expression a (1 + 0.06 + (1 + 0.06) × 0.17).

Step-by-step explanation:

To calculate the total amount that Katherine paid, first, we must compute the tax applied to the subtotal. Since the tax rate is 6%, we multiply the subtotal 'a' by 0.06:

Tax = a × 0.06

Next, we add the tax to the subtotal to find the total amount before the tip:

Total before tip = a + Tax

Now, Katherine decides to leave a tip of 17% on the entire bill, including the tax. To find the tip, we multiply the total before tip by 0.17:

Tip = (a + Tax) × 0.17

Finally, the total amount paid by Katherine is the sum of the subtotal, the tax, and the tip:

Total amount paid = Total before tip + Tip

Combining these steps into one expression, we get:

Total amount paid = a + (a × 0.06) + (a + (a × 0.06)) × 0.17

To simplify, we can factor 'a' out:

Total amount paid = a (1 + 0.06 + (1 + 0.06) × 0.17)