To determine if the ratio table is set up correctly, let's analyze the given information. The table shows the number of eggs corresponding to the number of cartons:
- For 1 carton: 12 eggs
- For 2 cartons: 24 eggs
- For 3 cartons: 36 eggs
- For 4 cartons: 48 eggs
- For 5 cartons: 60 eggs
Now, let's consider the ratio of cartons to eggs:
- For 1 carton: \( \frac{1}{12} \)
- For 2 cartons: \( \frac{2}{24} = \frac{1}{12} \)
- For 3 cartons: \( \frac{3}{36} = \frac{1}{12} \)
- For 4 cartons: \( \frac{4}{48} = \frac{1}{12} \)
- For 5 cartons: \( \frac{5}{60} = \frac{1}{12} \)
All these ratios can be simplified to \( \frac{1}{12} \).
Thus, the correct response is:
The table is set up correctly because all the ratios in the table can be simplified to \( \frac{1}{12} \).