Answer :
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].
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].