Question

A restaurant bill before tax is $19.34. Sales tax is 5.75% . Which amounts represent the resulting bill before and after an 18% tip is included? Calculate the tip using the bill plus sales tax. Round the sale tax and tip amounts to the nearest hundredth.(1 point)
Responses

Before tip: $20.45 

After tip: $24.13

Before tip: $20.45  After tip: $24.13

Before tip: $30.46  

After tip: $35.94

Before tip: $30.46   After tip: $35.94

Before tip: $21.20 

After tip: $25.20

Before tip: $21.20  After tip: $25.20

Before tip: $19.45 

After tip: $22.95

Answer 1

To calculate the final bill including sales tax and tip, let's go through the steps one by one.

1. **Calculate Sales Tax:**
- Bill before tax: $19.34
- Sales tax rate: 5.75%

Sales tax = Bill before tax × Sales tax rate
\[
Sales \, tax = 19.34 \times 0.0575 = 1.11 \quad \text{(rounded to the nearest hundredth)}
\]

2. **Calculate Total Bill Before Tip:**
- Total bill before tip = Bill before tax + Sales tax
\[
Total \, bill \, before \, tip = 19.34 + 1.11 = 20.45
\]

3. **Calculate Tip:**
- Tip rate: 18%
Tip = Total bill before tip × Tip rate
\[
Tip = 20.45 \times 0.18 = 3.68 \quad \text{(rounded to the nearest hundredth)}
\]

4. **Calculate Total Bill After Tip:**
- Total bill after tip = Total bill before tip + Tip
\[
Total \, bill \, after \, tip = 20.45 + 3.68 = 24.13
\]

Now we have:

- Before tip: $20.45
- After tip: $24.13

So the correct response is:

**Before tip: $20.45 After tip: $24.13**