The ratios of y over x are all equal to 1/3, thus we may infer that: B. the table is proportionate.
What is a Proportional Relationship?
Any pair of values in a table that depicts a proportionate relationship have the same value for the proportionality constant, k, where k = y/x.
Check each pair of values in the table to see if k is the same:
(36.75, 12.25):
k = 12.25/36.75 = 0.33
(16.8, 5.6):
k = 5.6/16.8 = 0.33
(77.1, 25.7):
k = 25.7/77.1 = 0.33
It is proportionate because the ratios of y across x are all equal to 1/3, which implies that the value of k is identical for all values.
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