Question

Does the following table show a proportional relationship between the variables x and y?

x 5/6 25/6 125/6
y 2 10 50

Answer 1

Yes

Explanation:

You can tell a relationship is proportional if the ratio of each pair of values is the same.

To find the ratio, you can divide y by x:

2 ÷ (5 / 6) = 2 × (6 / 5) = 12 / 5

10 ÷ (25 / 6) = 10 × (6 / 25) = 60 / 25 = 12 / 5

50 ÷ (125 / 6) = 50 × (6 / 125) = 300 / 125 = 12 / 5

Since the ratios are all 12/5, we know that the relationship is proportional.