Final answer:
The constant of proportionality (r) is found by checking the ratio of y/x for each pair of values. For the given pairs (8, 1.6), (15, 3), and (22, 4.4), the constant of proportionality (r) is 0.2, as the ratio y/x is consistent across all pairs.
Step-by-step explanation:
To find the constant of proportionality (r) in the equation y = rx, we look at the relationship between x and y.
We can see if y is directly proportional to x by checking if the ratio y/x is the same for each pair of numbers. In your question, you have provided the following pairs (x, y): (8, 1.6), (15, 3), and (22, 4.4).
Let's check the ratios:
- For (8, 1.6), r = y/x = 1.6/8 = 0.2
- For (15, 3), r = y/x = 3/15 = 0.2
- For (22, 4.4), r = y/x = 4.4/22 = 0.2
Since the ratio is consistent across all pairs, we have confirmed that the relationship is proportional, and the constant of proportionality is r = 0.2.