You order an appetizer for $12.99, 2 entrees for $12.99 each, and a dessert for $4.29. The sales tax is 6% and you leave a 15% tip based on the bill with sales tax. What is the total cost of your restaurant outing?

Question

(1 point)
Responses

$44.32
$44.32

$50.97
$50.97

$43.26
$43.26

$52.74

Answer 1

To calculate the total cost of your restaurant outing, let's break down the expenses step by step.

1. Calculate the cost of the food:

   • Appetizer: $12.99
   • Entrees: 2 x $12.99 = $25.98
   • Dessert: $4.29

   Total food cost = Appetizer + Entrees + Dessert $$\text{Total food cost}=12.99+25.98+4.29=43.26$$

2. Calculate the sales tax (6%): $$\text{Sales tax}=0.06\times \text{Total food cost}=0.06\times 43.26=2.5956\approx 2.60\text{ (rounded to two decimal places)}$$

3. Calculate total cost including tax: $$\text{Total cost after tax}=\text{Total food cost}+\text{Sales tax}=43.26+2.60=45.86$$

4. Calculate the tip (15%): $$\text{Tip}=0.15\times \text{Total cost after tax}=0.15\times 45.86=6.879\approx 6.88\text{ (rounded to two decimal places)}$$

5. Calculate the final total cost: $$\text{Total outing cost}=\text{Total cost after tax}+\text{Tip}=45.86+6.88=52.74$$

Therefore, the total cost of your restaurant outing is $52.74.