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Par Morceaux is the trendiest restaurant in town. The gratuity (tip) is automatically added to the bill, based on the subtotal amount of the food and drinks. If the subtotal is less than or equal to $75, an 18% gratuity is added. If the food and drinks cost more than $75, but less than $110, a 20% gratuity is added. All meals $110 or greater are charged a 22% gratuity. Which of the following functions relates the TOTAL cost of the meal f(x) to the subtotal amount of the food and drinks x?

User Firouziam
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Final answer:

To find the total cost including sales tax and tip, calculate the sales tax and add it to the meal's subtotal. Then decide on a tip percentage, convert it to decimal, and add this to the new total. For Jerod's bill with a 6% sales tax and 18% tip, the final total is $59.41.

Step-by-step explanation:

To calculate the total cost of a meal including sales tax and tip, we follow a few steps. Jerod and his friends' meal totaled $47.50 before taxes and tip. We first calculate the sales tax by converting the percentage to a decimal and multiplying it by the meal's cost. The sales tax is 6%, which is 0.06 in decimal form, so we do:

0.06 × $47.50 = $2.85

Next, we add this sales tax to the subtotal to get the new total:

$47.50 + $2.85 = $50.35

Now, to calculate the tip, we decide on a percentage and convert it to decimal form to multiply by the new total. If they leave an 18% tip, convert 18% to 0.18 and calculate:

0.18 × $50.35 = $9.06

Finally, we add the tip to the new total to find the final amount:

$50.35 + $9.06 = $59.41

So, if using a credit card, Jerod and his friends will pay $59.41 at the restaurant's register, including sales tax and tip.

User Mateusz Jablonski
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