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.

Answer 1

To solve the problem, we will follow the steps one by one.

### Step 1: Calculate the 20% tip based on the food cost.

To determine the tip, we need to calculate 20% of the pre-tax food cost:

\[
\text{Tip} = \text{Food Cost} \times \frac{20}{100} = 105.79 \times 0.20
\]

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

Rounding this to the nearest hundredth gives:

\[
\text{Tip} = 21.16
\]

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

To determine the sales tax, calculate 9% of the food cost:

\[
\text{Sales Tax} = \text{Food Cost} \times \frac{9}{100} = 105.79 \times 0.09
\]

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

Rounding this to the nearest hundredth gives:

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

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

The total price is the sum of the food cost, sales tax, and tip:

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

Calculating this:

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

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

So, rounding to the nearest hundredth, we have:

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

### Summary of Results:

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