Question

draw a pie chart representation of roxy’s one-year budget plan using the expenses and income amounts from parts b through e.

Explanation:

To draw a pie chart for Roxy’s one - year budget plan, we can follow these general steps (assuming we have the expense and income data from parts B - E, which are not fully shown here but the process is as follows):

Step 1: Gather the data

Collect all the expense and income amounts. Let's assume the total of all these amounts is \( T \). For each category (expense or income type), we have an amount \( A_i \).

Step 2: Calculate the percentage for each category

For each category \( i \), the percentage \( P_i \) is calculated using the formula \( P_i=\frac{A_i}{T}\times100\% \).

Step 3: Calculate the central angle for each category

The central angle \( \theta_i \) (in degrees) for each category in the pie chart is given by \( \theta_i = \frac{A_i}{T}\times360^\circ \).

Step 4: Draw the pie chart

1. Draw a circle (the pie).
2. Use a protractor to mark the central angles calculated for each category.
3. Label each sector with the corresponding category name and its percentage (or amount, depending on the requirement).

Since the specific data from parts B - E is not provided, we can't calculate the exact angles and draw the full pie chart here. But if we had the data, we would follow the above steps to create the pie chart representation of Roxy’s budget.

If we assume some sample data (for illustration purposes only), let's say Roxy's total income and expenses sum up to $10000, with expenses on rent = $3000, food = $2000, and income from salary = $10000 (simplified example).

• For rent: \( P_{rent}=\frac{3000}{10000}\times 100\% = 30\% \), \( \theta_{rent}=\frac{3000}{10000}\times360^\circ= 108^\circ \)
• For food: \( P_{food}=\frac{2000}{10000}\times 100\% = 20\% \), \( \theta_{food}=\frac{2000}{10000}\times360^\circ = 72^\circ \)
• For salary (income): \( P_{salary}=\frac{10000}{10000}\times 100\%=100\% \) (but in a real budget, income and expenses should balance, this is just a simple example), \( \theta_{salary}=\frac{10000}{10000}\times360^\circ = 360^\circ \) (but in a pie chart with both income and expenses, we would have different categories).

To actually draw the pie chart, we would use the circle provided, mark the angles for each category using a protractor, color - code or label each sector, and add a legend if needed.

Since the problem is about drawing a pie chart for a budget, and we need the data from parts B - E (which are not shown), the key is to follow the steps of data collection, percentage/angle calculation, and then drawing the sectors based on the calculated angles.

If you can provide the data from parts B - E (the expense and income amounts), we can calculate the exact angles and give more detailed instructions for drawing the pie chart.

Answer:

To draw a pie chart for Roxy’s one - year budget plan, we can follow these general steps (assuming we have the expense and income data from parts B - E, which are not fully shown here but the process is as follows):

Step 1: Gather the data

Collect all the expense and income amounts. Let's assume the total of all these amounts is \( T \). For each category (expense or income type), we have an amount \( A_i \).

Step 2: Calculate the percentage for each category

For each category \( i \), the percentage \( P_i \) is calculated using the formula \( P_i=\frac{A_i}{T}\times100\% \).

Step 3: Calculate the central angle for each category

The central angle \( \theta_i \) (in degrees) for each category in the pie chart is given by \( \theta_i = \frac{A_i}{T}\times360^\circ \).

Step 4: Draw the pie chart

1. Draw a circle (the pie).
2. Use a protractor to mark the central angles calculated for each category.
3. Label each sector with the corresponding category name and its percentage (or amount, depending on the requirement).

Since the specific data from parts B - E is not provided, we can't calculate the exact angles and draw the full pie chart here. But if we had the data, we would follow the above steps to create the pie chart representation of Roxy’s budget.

If we assume some sample data (for illustration purposes only), let's say Roxy's total income and expenses sum up to $10000, with expenses on rent = $3000, food = $2000, and income from salary = $10000 (simplified example).

• For rent: \( P_{rent}=\frac{3000}{10000}\times 100\% = 30\% \), \( \theta_{rent}=\frac{3000}{10000}\times360^\circ= 108^\circ \)
• For food: \( P_{food}=\frac{2000}{10000}\times 100\% = 20\% \), \( \theta_{food}=\frac{2000}{10000}\times360^\circ = 72^\circ \)
• For salary (income): \( P_{salary}=\frac{10000}{10000}\times 100\%=100\% \) (but in a real budget, income and expenses should balance, this is just a simple example), \( \theta_{salary}=\frac{10000}{10000}\times360^\circ = 360^\circ \) (but in a pie chart with both income and expenses, we would have different categories).

To actually draw the pie chart, we would use the circle provided, mark the angles for each category using a protractor, color - code or label each sector, and add a legend if needed.

Since the problem is about drawing a pie chart for a budget, and we need the data from parts B - E (which are not shown), the key is to follow the steps of data collection, percentage/angle calculation, and then drawing the sectors based on the calculated angles.

If you can provide the data from parts B - E (the expense and income amounts), we can calculate the exact angles and give more detailed instructions for drawing the pie chart.