To determine the percentage that the Animals slice would occupy on a circle graph based on the given table, follow these steps:
1. Find the total number of people at the costume party:
- Sum the number of people from each costume theme.
[tex]\[
\text{Total number of people} = 128 + 96 + 72 + 52 + 24 + 28
\][/tex]
By adding these numbers together:
[tex]\[
128 + 96 + 72 + 52 + 24 + 28 = 400
\][/tex]
So, the total number of people at the party is 400.
2. Determine the number of people who wore animal-themed costumes:
- According to the table, this number is 24.
3. Calculate the percentage of people who wore animal-themed costumes:
- Use the percentage formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of people with animal costumes}}{\text{Total number of people}}\right) \times 100
\][/tex]
Plug in the numbers:
[tex]\[
\text{Percentage} = \left(\frac{24}{400}\right) \times 100
\][/tex]
Simplify the fraction and then multiply by 100:
[tex]\[
\left(\frac{24}{400}\right) \times 100 = 0.06 \times 100 = 6\%
\][/tex]
So, the percentage that would be on the Animals slice of the circle graph is [tex]\( \boxed{6\%} \)[/tex].
