On your property tax bill, you see the following table.

\begin{tabular}{|c|c|}
\hline Destination & Share of Your Taxes \\
\hline Roads & [tex]$\$[/tex] 241[tex]$ \\
\hline Schools & $[/tex]\[tex]$ 896$[/tex] \\
\hline Public Safety & [tex]$\$[/tex] 154[tex]$ \\
\hline Township & $[/tex]\[tex]$ 177$[/tex] \\
\hline
\end{tabular}

What percentage of your taxes went to funding public safety?

A. [tex]$10.49 \%$[/tex]
B. [tex]$12.06 \%$[/tex]
C. [tex]$11.72 \%$[/tex]
D. [tex]$8.94 \%$[/tex]

Please select the best answer from the choices provided.



Answer :

To determine the percentage of your taxes that went to funding public safety, we need to follow these steps:

1. Find the total amount of taxes:
We first add up all the individual amounts allocated to different destinations (roads, schools, public safety, and township).

[tex]\[ \text{Total Taxes} = \text{Roads} + \text{Schools} + \text{Public Safety} + \text{Township} \][/tex]

Substituting the given values:

[tex]\[ \text{Total Taxes} = 241 + 896 + 154 + 177 \][/tex]

Performing the addition:

[tex]\[ \text{Total Taxes} = 241 + 896 + 154 + 177 = 1468 \][/tex]

2. Calculate the percentage of taxes that went to public safety:
Next, we use the amount allocated to public safety and divide it by the total taxes. Then, we multiply by 100 to get the percentage.

[tex]\[ \text{Percentage to Public Safety} = \left( \frac{\text{Public Safety}}{\text{Total Taxes}} \right) \times 100 \][/tex]

Substituting the appropriate values:

[tex]\[ \text{Percentage to Public Safety} = \left( \frac{154}{1468} \right) \times 100 \][/tex]

Calculating the division and then multiplying by 100:

[tex]\[ \text{Percentage to Public Safety} \approx 10.49\% \][/tex]

3. Select the closest matching choice:
Reviewing the options provided:
- [tex]\(10.49 \%\)[/tex]
- [tex]\(12.06 \%\)[/tex]
- [tex]\(11.72 \%\)[/tex]
- [tex]\(8.94 \%\)[/tex]

The closest matching percentage to our calculated result of approximately [tex]\(10.49\%\)[/tex] is option (a) [tex]\(10.49\%\)[/tex].

Therefore, the best answer from the choices provided is:

a. 10.49%

This means that [tex]\(10.49\%\)[/tex] of your taxes went to funding public safety.