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Sagot :
We are provided a table listing monthly fixed expenses for the first three months of the year. To represent these expenses accurately in a pie chart, we need to calculate the total expense for each category over the three months.
Let's summarize the calculations step-by-step:
1. Emergency Fund:
[tex]\[ 50 \text{ USD (Jan)} + 50 \text{ USD (Feb)} + 50 \text{ USD (Mar)} = 150 \text{ USD} \][/tex]
2. Cell Phone:
[tex]\[ 89 \text{ USD (Jan)} + 89 \text{ USD (Feb)} + 89 \text{ USD (Mar)} = 267 \text{ USD} \][/tex]
3. Internet:
[tex]\[ 55 \text{ USD (Jan)} + 55 \text{ USD (Feb)} + 55 \text{ USD (Mar)} = 165 \text{ USD} \][/tex]
4. Rent Payment:
[tex]\[ 986 \text{ USD (Jan)} + 986 \text{ USD (Feb)} + 986 \text{ USD (Mar)} = 2958 \text{ USD} \][/tex]
5. Transportation:
[tex]\[ 30 \text{ USD (Jan)} + 30 \text{ USD (Feb)} + 30 \text{ USD (Mar)} = 90 \text{ USD} \][/tex]
6. Insurance:
[tex]\[ 15 \text{ USD (Jan)} + 15 \text{ USD (Feb)} + 15 \text{ USD (Mar)} = 45 \text{ USD} \][/tex]
7. Gym Membership:
[tex]\[ 24 \text{ USD (Jan)} + 24 \text{ USD (Feb)} + 24 \text{ USD (Mar)} = 72 \text{ USD} \][/tex]
8. Entertainment:
[tex]\[ 35 \text{ USD (Jan)} + 35 \text{ USD (Feb)} + 35 \text{ USD (Mar)} = 105 \text{ USD} \][/tex]
Now, let's list the total expenses for all categories over three months:
- Emergency Fund: 150 USD
- Cell Phone: 267 USD
- Internet: 165 USD
- Rent Payment: 2958 USD
- Transportation: 90 USD
- Insurance: 45 USD
- Gym Membership: 72 USD
- Entertainment: 105 USD
To create an accurate pie chart, we need to convert these amounts to percentages of the total expenses.
1. Calculate Total Expenses:
[tex]\[ 150 + 267 + 165 + 2958 + 90 + 45 + 72 + 105 = 3852 \text{ USD} \][/tex]
2. Calculate Percentages:
- Emergency Fund:
[tex]\[ \left(\frac{150}{3852}\right) \times 100 \approx 3.9\% \][/tex]
- Cell Phone:
[tex]\[ \left(\frac{267}{3852}\right) \times 100 \approx 6.9\% \][/tex]
- Internet:
[tex]\[ \left(\frac{165}{3852}\right) \times 100 \approx 4.3\% \][/tex]
- Rent Payment:
[tex]\[ \left(\frac{2958}{3852}\right) \times 100 \approx 76.8\% \][/tex]
- Transportation:
[tex]\[ \left(\frac{90}{3852}\right) \times 100 \approx 2.3\% \][/tex]
- Insurance:
[tex]\[ \left(\frac{45}{3852}\right) \times 100 \approx 1.2\% \][/tex]
- Gym Membership:
[tex]\[ \left(\frac{72}{3852}\right) \times 100 \approx 1.9\% \][/tex]
- Entertainment:
[tex]\[ \left(\frac{105}{3852}\right) \times 100 \approx 2.7\% \][/tex]
By representing these percentages in a pie chart, we can visualize each expense's proportion relative to the total expenses over the first three months of the year.
The pie chart should prominently feature Rent Payment as the largest section since it constitutes approximately 76.8% of the total expenses. The smaller sections will represent the other categories accordingly.
Let's summarize the calculations step-by-step:
1. Emergency Fund:
[tex]\[ 50 \text{ USD (Jan)} + 50 \text{ USD (Feb)} + 50 \text{ USD (Mar)} = 150 \text{ USD} \][/tex]
2. Cell Phone:
[tex]\[ 89 \text{ USD (Jan)} + 89 \text{ USD (Feb)} + 89 \text{ USD (Mar)} = 267 \text{ USD} \][/tex]
3. Internet:
[tex]\[ 55 \text{ USD (Jan)} + 55 \text{ USD (Feb)} + 55 \text{ USD (Mar)} = 165 \text{ USD} \][/tex]
4. Rent Payment:
[tex]\[ 986 \text{ USD (Jan)} + 986 \text{ USD (Feb)} + 986 \text{ USD (Mar)} = 2958 \text{ USD} \][/tex]
5. Transportation:
[tex]\[ 30 \text{ USD (Jan)} + 30 \text{ USD (Feb)} + 30 \text{ USD (Mar)} = 90 \text{ USD} \][/tex]
6. Insurance:
[tex]\[ 15 \text{ USD (Jan)} + 15 \text{ USD (Feb)} + 15 \text{ USD (Mar)} = 45 \text{ USD} \][/tex]
7. Gym Membership:
[tex]\[ 24 \text{ USD (Jan)} + 24 \text{ USD (Feb)} + 24 \text{ USD (Mar)} = 72 \text{ USD} \][/tex]
8. Entertainment:
[tex]\[ 35 \text{ USD (Jan)} + 35 \text{ USD (Feb)} + 35 \text{ USD (Mar)} = 105 \text{ USD} \][/tex]
Now, let's list the total expenses for all categories over three months:
- Emergency Fund: 150 USD
- Cell Phone: 267 USD
- Internet: 165 USD
- Rent Payment: 2958 USD
- Transportation: 90 USD
- Insurance: 45 USD
- Gym Membership: 72 USD
- Entertainment: 105 USD
To create an accurate pie chart, we need to convert these amounts to percentages of the total expenses.
1. Calculate Total Expenses:
[tex]\[ 150 + 267 + 165 + 2958 + 90 + 45 + 72 + 105 = 3852 \text{ USD} \][/tex]
2. Calculate Percentages:
- Emergency Fund:
[tex]\[ \left(\frac{150}{3852}\right) \times 100 \approx 3.9\% \][/tex]
- Cell Phone:
[tex]\[ \left(\frac{267}{3852}\right) \times 100 \approx 6.9\% \][/tex]
- Internet:
[tex]\[ \left(\frac{165}{3852}\right) \times 100 \approx 4.3\% \][/tex]
- Rent Payment:
[tex]\[ \left(\frac{2958}{3852}\right) \times 100 \approx 76.8\% \][/tex]
- Transportation:
[tex]\[ \left(\frac{90}{3852}\right) \times 100 \approx 2.3\% \][/tex]
- Insurance:
[tex]\[ \left(\frac{45}{3852}\right) \times 100 \approx 1.2\% \][/tex]
- Gym Membership:
[tex]\[ \left(\frac{72}{3852}\right) \times 100 \approx 1.9\% \][/tex]
- Entertainment:
[tex]\[ \left(\frac{105}{3852}\right) \times 100 \approx 2.7\% \][/tex]
By representing these percentages in a pie chart, we can visualize each expense's proportion relative to the total expenses over the first three months of the year.
The pie chart should prominently feature Rent Payment as the largest section since it constitutes approximately 76.8% of the total expenses. The smaller sections will represent the other categories accordingly.
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