To find the constant of proportionality in the context of the given recipe, we look for the ratio of cups of flour to the number of loaves of bread in the data table.
According to the recipe, each loaf requires 2 cups of flour. So the constant of proportionality, which shows the ratio of cups of flour to loaves of bread, will be 2 cups of flour per loaf.
Looking at the data table:
- For 1 loaf, 2 cups of flour would suffice, but the table shows 12 cups. (Ratio is 12/1=12)
- For 2 loaves, we use 1 cup of flour, so that means we would expect 4 cups. (Given ratio is 1/2=0.5)
- For 3 loaves, the tables shows 112 cups of flour again not corresponding. (Ratio is 112/3=37.3)
- For 4 loaves, the table indicates 2 cups which matches the ratio. (Solved as 2/4=0.5)
Clearly, the normal fraction will give you the match on a constant as seen.
Thus the ratio that matches the relation most closely is: (2,1) So the answer is (2,1).