Final answer:
The relationship between cups of flour and loaves of bread is directly proportional with a constant of proportionality of 0.5, making answer option a) the correct choice.
Step-by-step explanation:
To determine if the relationship between cups of flour (x) and loaves of bread (y) is proportional, we need to check if there is a constant rate of change. In other words, we see if dividing y by x yields the same number for each pair of values. Given the pairs (2,1), (4,2), (8,4), and (10,5), we divide the number of loaves of bread by the number of cups of flour to find the constant of proportionality, k.
- For (2,1), k = 1/2 = 0.5
- For (4,2), k = 2/4 = 0.5
- For (8,4), k = 4/8 = 0.5
- For (10,5), k = 5/10 = 0.5
Since we get the same constant of proportionality, 0.5, for each pair, we can conclude that the relationship between cups of flour and loaves of bread is directly proportional with a constant of proportionality of 0.5. Therefore, the correct answer is option a) Yes, with a constant of proportionality 0.5.