Certainly! Let's break down the problem step by step.
1. Understanding the given information:
- The restaurant bill is \[tex]$46.32.
- The tax rate is \(7 \frac{1}{2} \%\) which can be represented as \(7.5\%\).
- The tip rate is \(20\%\).
2. Calculating the tax amount:
\[
\text{Tax amount} = \text{Bill amount} \times \text{Tax rate}
\]
So, the tax amount is:
\[
46.32 \times \frac{7.5}{100} = 46.32 \times 0.075 = 3.474
\]
3. Calculating the tip amount:
\[
\text{Tip amount} = \text{Bill amount} \times \text{Tip rate}
\]
So, the tip amount is:
\[
46.32 \times \frac{20}{100} = 46.32 \times 0.20 = 9.264
\]
4. Calculating the total amount:
\[
\text{Total amount} = \text{Bill amount} + \text{Tax amount} + \text{Tip amount}
\]
So, the total amount is:
\[
46.32 + 3.474 + 9.264 = 59.058
\]
Now we need to find the correct answer from the given options closest to the calculated total amount:
- a. \$[/tex]59.75
- b. \[tex]$59.05
- c. \$[/tex]58.92
- d. \[tex]$58.87
By comparing, the closest amount to \$[/tex]59.058 is:
[tex]\[
\boxed{59.05}
\][/tex]
