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Sagot :
Let's solve this step-by-step. We'll determine for which serving size the ratio of serving size to pounds of meat is different from the others.
We start with the given data:
| Serving size | Pounds of meat |
|--------------|----------------|
| 20 | 2 |
| 40 | 6 |
| 80 | 8 |
| 120 | 12 |
First, calculate the ratio for each serving size:
1. For a serving size of 20:
[tex]\[ \text{Ratio} = \frac{20}{2} = 10 \][/tex]
2. For a serving size of 40:
[tex]\[ \text{Ratio} = \frac{40}{6} \approx 6.67 \][/tex]
3. For a serving size of 80:
[tex]\[ \text{Ratio} = \frac{80}{8} = 10 \][/tex]
4. For a serving size of 120:
[tex]\[ \text{Ratio} = \frac{120}{12} = 10 \][/tex]
Now, compare these ratios:
- Serving size 20 has a ratio of 10.
- Serving size 40 has a ratio of approximately 6.67.
- Serving size 80 has a ratio of 10.
- Serving size 120 has a ratio of 10.
We observe that the ratios for serving sizes 20, 80, and 120 are all 10, whereas the ratio for serving size 40 is approximately 6.67.
Thus, the serving size for which the ratio of serving size to pounds of meat is different from the others is 40.
This completes the step-by-step solution, confirming that the error is with the serving size of 40.
We start with the given data:
| Serving size | Pounds of meat |
|--------------|----------------|
| 20 | 2 |
| 40 | 6 |
| 80 | 8 |
| 120 | 12 |
First, calculate the ratio for each serving size:
1. For a serving size of 20:
[tex]\[ \text{Ratio} = \frac{20}{2} = 10 \][/tex]
2. For a serving size of 40:
[tex]\[ \text{Ratio} = \frac{40}{6} \approx 6.67 \][/tex]
3. For a serving size of 80:
[tex]\[ \text{Ratio} = \frac{80}{8} = 10 \][/tex]
4. For a serving size of 120:
[tex]\[ \text{Ratio} = \frac{120}{12} = 10 \][/tex]
Now, compare these ratios:
- Serving size 20 has a ratio of 10.
- Serving size 40 has a ratio of approximately 6.67.
- Serving size 80 has a ratio of 10.
- Serving size 120 has a ratio of 10.
We observe that the ratios for serving sizes 20, 80, and 120 are all 10, whereas the ratio for serving size 40 is approximately 6.67.
Thus, the serving size for which the ratio of serving size to pounds of meat is different from the others is 40.
This completes the step-by-step solution, confirming that the error is with the serving size of 40.
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