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Question
Jesse buys his coworkers lunch from the local steakhouse. The food costs $105.79, and the sales tax rate is 9%. Jesse wants to leave a 20% tip based on the pre-tax amount. Complete the steps below.(3 points)
Step 1. Determine the 20% tip of the food costs.

$
Round the answer to the nearest hundredth.

Step 2. Determine the 9% sales tax of the food costs.

$
Round the answer to the nearest hundredth.

Step 3. Determine the total price of the meal including the tip and tax.

$
Round the answer to the nearest hundredth.

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Answer 1

Let's break down each step to find Jesse's total cost for the meal.

Step 1: Determine the 20% tip of the food costs.

To calculate the tip:

1. The food cost is $105.79.
2. Calculate 20% of this amount:
   \[ \text{Tip} = 0.20 \times 105.79 = 21.158 \]
   Rounding to the nearest hundredth gives:
   \[ \text{Tip} = 21.16 \]

Step 2: Determine the 9% sales tax of the food costs.

To calculate the sales tax:

1. The sales tax rate is 9%.
2. Calculate 9% of the food cost:
   \[ \text{Sales Tax} = 0.09 \times 105.79 = 9.4781 \]
   Rounding to the nearest hundredth gives:
   \[ \text{Sales Tax} = 9.48 \]

Step 3: Determine the total price of the meal including the tip and tax.

Now that we have the amounts for the tip and sales tax, we can find the total cost:

1. Add the food cost, tip, and sales tax together:
   \[ \text{Total} = 105.79 + 21.16 + 9.48 \]
   \[ \text{Total} = 136.43 \]

Summary of Results:

• Step 1 Tip: $21.16
• Step 2 Sales Tax: $9.48
• Step 3 Total Cost: $136.43

Thus, the answers are:

• Step 1: $21.16
• Step 2: $9.48
• Step 3: $136.43