To determine which circle graph (or pie chart) correctly represents the data on convenience store purchases, let's follow these steps to find the percentage representation of each item.
1. Calculate the Total Number of Purchases:
- Candy: 75
- Snacks: 125
- Automotive Supplies: 100
- Beverages: 200
2. Summing these values gives:
[tex]\[
\text{Total Purchases} = 75 + 125 + 100 + 200 = 500
\][/tex]
3. Calculate the Percentage of Each Item:
- Candy:
[tex]\[
\text{Candy Percentage} = \left( \frac{75}{500} \right) \times 100 = 15\%
\][/tex]
- Snacks:
[tex]\[
\text{Snacks Percentage} = \left( \frac{125}{500} \right) \times 100 = 25\%
\][/tex]
- Automotive Supplies:
[tex]\[
\text{Automotive Supplies Percentage} = \left( \frac{100}{500} \right) \times 100 = 20\%
\][/tex]
- Beverages:
[tex]\[
\text{Beverages Percentage} = \left( \frac{200}{500} \right) \times 100 = 40\%
\][/tex]
4. Summary of Percentages:
- Candy: 15%
- Snacks: 25%
- Automotive Supplies: 20%
- Beverages: 40%
So, the correct circle graph (pie chart) would display the segments corresponding to:
- 15% for Candy
- 25% for Snacks
- 20% for Automotive Supplies
- 40% for Beverages
Each segment's size should accurately reflect these percentages of the whole circle.
