Answered


Item		Price

Italian Salad		\$3.99

Fettuccini Alfredo		\$7.17

Subtotal		\$11.16

Sales Tax (5\%)		\$0.56

Total		\$11.72






Abelita and France had great service during the meal. They would like to tip the server 20 percent. Which of these expressions would find the total bill, including tax and gratuity? Choose two correct answers.


A(1.2)(11.72)
B(0.2)(11.72)
C$11.72 + [(0.2)(11.72)]$
D$11.72 - [(0.2)(11.72)]$

Verified Answer :

  • The tip amount is \(0.20 \times 11.72\).
  • The final bill is the total plus the tip: \(11.72 + [(0.2)(11.72)]\).
  • Using the distributive property, this expression simplifies to \((1.2)(11.72)\).
  • The two correct expressions are \((1.2)(11.72)\) and \(11.72 + [(0.2)(11.72)]\).
  • Final Answer: \(\boxed{(1.2)(11.72), 11.72 + [(0.2)(11.72)]}\)

Explanation

  1. Analyzing the Bill Calculation

The problem asks us to calculate the final total bill including tax and gratuity. We are given the total amount after tax, which is \(\$11.72\). Abelita and Fance decide to leave a 20% tip on this total amount. The tip is calculated as 20% of the total, and the final bill is the sum of the total and the tip amount.

To express this as a mathematical expression, we first calculate the tip amount:
\[\text{Tip} = 20\% \text{ of } \$11.72 = 0.20 \times 11.72\]
The final total bill is the original total plus the tip amount:
\[\text{Final Bill} = 11.72 + (0.20 \times 11.72)\]
This is one of the correct expressions.

Next, we can simplify this expression by factoring out 11.72:
\[\text{Final Bill} = 11.72 \times (1 + 0.20) = 11.72 \times 1.2\]
This is equivalent to:
\[\text{Final Bill} = (1.2) \times 11.72\]
This is the second correct expression.

Examples

Calculating the total cost including tax and tips is a common everyday task. For example, if you go out to eat and want to know how much to pay including a 15% or 20% tip, you can quickly estimate it by multiplying your post-tax bill by 1.15 or 1.20 respectively. This method is efficient for managing budgets and ensuring accurate payments for services rendered.

Related Questions