Question

Determine if the table shows a proportional relationship.

Answer 1

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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