Question

The cost for Paul's lunch was $14.56. Paul left a tip of 15% of the cost of the lunch. He also paid sales tax of 7% of the cost of the lunch. What was Paul's total cost for the lunch, including tip and tax? Round your answer to the nearest hundredth.

Answer 1

To calculate Paul's total cost for the lunch, we need to add the cost of the lunch, the tip, and the sales tax.

1. **Cost of Lunch**: \( C = 14.56 \)

2. **Tip Calculation**:
\[
\text{Tip} = 0.15 \times C = 0.15 \times 14.56 = 2.184
\]

3. **Sales Tax Calculation**:
\[
\text{Sales Tax} = 0.07 \times C = 0.07 \times 14.56 = 1.0192
\]

4. **Total Cost Calculation**:
\[
\text{Total Cost} = C + \text{Tip} + \text{Sales Tax}
\]
\[
\text{Total Cost} = 14.56 + 2.184 + 1.0192
\]
\[
\text{Total Cost} = 17.7632
\]

5. **Rounding to the nearest hundredth**:
\[
\text{Total Cost} \approx 17.76
\]

Thus, Paul's total cost for the lunch, including tip and tax, is **$17.76**.