To determine whether the ratio table is set up correctly, we should first analyze the ratios given in the table:
- For 1 carton, there are 12 eggs: \( \frac{1}{12} \)
- For 2 cartons, there are 24 eggs: \( \frac{2}{24} = \frac{1}{12} \)
- For 3 cartons, there are 36 eggs: \( \frac{3}{36} = \frac{1}{12} \)
- For 4 cartons, there are 48 eggs: \( \frac{4}{48} = \frac{1}{12} \)
- For 5 cartons, there are 60 eggs: \( \frac{5}{60} = \frac{1}{12} \)
As we can see, all the ratios in the table simplify to \( \frac{1}{12} \).
Now we can evaluate the response options based on this simplification:
- The table is set up correctly because all the ratios in the table can be simplified to \( \frac{1}{12} \). (This is true)
- The table is set up correctly because all ratios in the table can be simplified to \( \frac{1}{6} \). (This is false)
- The table has been set up correctly because at least two ratios in the table can be simplified to \( \frac{1}{12} \). (This is true but not the most precise statement)
- The table is set up correctly because the first and last ratios are equivalent. (This is true but not the most precise statement)
The best response is:
The table is set up correctly because all the ratios in the table can be simplified to \( \frac{1}{12} \).
1 answer