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)

Question

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 go through each step one by one:

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

Pre-tax food cost: $105.79
Tip percentage: 20%

To calculate the tip:

\[ \text{Tip} = \text{Food Cost} \times \text{Tip Percentage} = 105.79 \times 0.20 \]

\[ \text{Tip} = 105.79 \times 0.20 = 21.158 \]

Rounding to the nearest hundredth:

\[ \text{Tip} = 21.16 \]

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

Sales Tax Rate: 9%

To calculate the sales tax:

\[ \text{Sales Tax} = \text{Food Cost} \times \text{Sales Tax Rate} = 105.79 \times 0.09 \]

\[ \text{Sales Tax} = 105.79 \times 0.09 = 9.4781 \]

Rounding to the nearest hundredth:

\[ \text{Sales Tax} = 9.48 \]

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

To find the total price, we sum the food cost, tip, and sales tax:

\[ \text{Total Price} = \text{Food Cost} + \text{Tip} + \text{Sales Tax} \]

\[ \text{Total Price} = 105.79 + 21.16 + 9.48 \]

Calculating the total:

\[ \text{Total Price} = 136.43 \]

Thus, the final values for each step are:

1. Tip: $21.16
2. Sales Tax: $9.48
3. Total Price: $136.43