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Sagot :
Answer:
Step-by-step explanation:
To create a pie chart for the given food items and their prices, we'll follow these steps:
### Step-by-Step Solution:
**(a) Creating the Pie Chart:**
1. **List of Food Items and Prices:**
- Rice: $50
- Yam: $30
- Cassava: $20
- Noodles: $35
- Beans: $45
2. **Calculate Total Sum of Prices:**
Total = 50 + 30 + 20 + 35 + 45 = $180
3. **Calculate Percentage for Each Food Item:**
- Rice: \( \frac{50}{180} \times 100\% = 27.78\% \)
- Yam: \( \frac{30}{180} \times 100\% = 16.67\% \)
- Cassava: \( \frac{20}{180} \times 100\% = 11.11\% \)
- Noodles: \( \frac{35}{180} \times 100\% = 19.44\% \)
- Beans: \( \frac{45}{180} \times 100\% = 25.00\% \)
4. **Constructing the Pie Chart:**
- Draw a circle to represent the pie chart.
- Divide the circle into sectors proportional to the percentage calculated for each food item.
5. **Labeling the Pie Chart:**
- Label each sector with the food item and its percentage of the total price.
6. **Pie Chart Representation:**
- Rice: 27.78%
- Yam: 16.67%
- Cassava: 11.11%
- Noodles: 19.44%
- Beans: 25.00%
**(b) Percentage of Price of Yam:**
From the calculations above, the percentage of the price of Yam is \( \boxed{16.67\%} \). This represents the portion of the total price that Yam contributes to the entire distribution of food prices.
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