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Josh is creating a circle graph using the data shown in the chart. What percentage will the veggie sandwich section represent?

[tex]\[
\begin{tabular}{|l|c|}
\hline
Sandwich & Votes \\
\hline
Turkey & 10 \\
Tuna & 12 \\
Veggie & 18 \\
Ham & 10 \\
\hline
Total & 50 \\
\hline
\end{tabular}
\][/tex]

A. 5%
B. 9%
C. 18%
D. 36%

Sagot :

To determine what percentage the veggie sandwich will represent in Josh's circle graph, follow these steps:

1. Identify the total number of votes:
The total number of votes from the chart is given as 50.

2. Identify the number of votes for the veggie sandwich:
According to the chart, the veggie sandwich received 18 votes.

3. Calculate the percentage of the total votes that the veggie sandwich received:
Use the formula for percentage:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of votes for veggie sandwich}}{\text{Total number of votes}} \right) \times 100 \][/tex]
Plug in the known values:
[tex]\[ \text{Percentage} = \left( \frac{18}{50} \right) \times 100 \][/tex]

4. Simplify the fraction:
[tex]\[ \frac{18}{50} = 0.36 \][/tex]

5. Convert the fraction to a percentage:
[tex]\[ 0.36 \times 100 = 36\% \][/tex]

Therefore, the veggie sandwich section will represent 36% in Josh's circle graph.

Among the given options:
- [tex]\(5 \% \)[/tex]
- [tex]\(9 \% \)[/tex]
- [tex]\(18 \% \)[/tex]
- [tex]\(36 \% \)[/tex]

The correct answer is [tex]\( \boxed{36 \%} \)[/tex].