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 go through the calculations step by step:

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

The cost of the food is $105.79. To find the 20% tip, we calculate:

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

Rounding to the nearest hundredth:

\[
\text{Tip} \approx 21.16
\]

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

To find the 9% sales tax, we calculate:

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

Rounding to the nearest hundredth:

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

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

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

\[
\text{Total} = \text{Food Cost} + \text{Tip} + \text{Sales Tax} = 105.79 + 21.16 + 9.48
\]

Calculating this gives:

\[
\text{Total} \approx 136.43
\]

So, rounding to the nearest hundredth:

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

### Summary of Results:

- Step 1: 20% Tip = **$21.16**
- Step 2: 9% Sales Tax = **$9.48**
- Step 3: Total Price = **$136.43**