To determine which pie chart accurately represents Sabrina's variable expenses for the month of June, we need to compare the percentage of each expense category.
Step-by-Step Solution:
1. Identify the Expenses and Their Amounts:
- Groceries: \[tex]$327.32
- Fuel and Transportation: \$[/tex]103.15
- Clothing: \[tex]$26.15
- Dining Out: \$[/tex]122.56
- Entertainment: \[tex]$78.16
2. Calculate the Total Monthly Expenses:
The sum of all expenses is:
\[
\text{Total Expenses} = 327.32 + 103.15 + 26.15 + 122.56 + 78.16 = \$[/tex]657.34
\]
3. Calculate the Percentage of Each Expense:
The percentage of each individual expense is calculated by dividing the expense by the total monthly expenses and then multiplying by 100.
- Groceries:
[tex]\[
\text{Percentage of Groceries} = \left( \frac{327.32}{657.34} \right) \times 100 = 49.79\%
\][/tex]
- Fuel and Transportation:
[tex]\[
\text{Percentage of Fuel and Transportation} = \left( \frac{103.15}{657.34} \right) \times 100 = 15.69\%
\][/tex]
- Clothing:
[tex]\[
\text{Percentage of Clothing} = \left( \frac{26.15}{657.34} \right) \times 100 = 3.98\%
\][/tex]
- Dining Out:
[tex]\[
\text{Percentage of Dining Out} = \left( \frac{122.56}{657.34} \right) \times 100 = 18.64\%
\][/tex]
- Entertainment:
[tex]\[
\text{Percentage of Entertainment} = \left( \frac{78.16}{657.34} \right) \times 100 = 11.89\%
\][/tex]
4. Summary of Percentages:
- Groceries: 49.79%
- Fuel and Transportation: 15.69%
- Clothing: 3.98%
- Dining Out: 18.64%
- Entertainment: 11.89%
Now, we can look for a pie chart where these percentages are represented correctly. The pie chart should have roughly half of it dedicated to groceries (around 50%), with smaller but significant portions for dining out (about 19%), fuel and transportation (about 16%), entertainment (about 12%), and the smallest slice for clothing (about 4%).
This detailed analysis confirms that the expenses are distributed as calculated, and we can match these percentages to the correct pie chart.
