Table C shows the proportional relationship between x and y that y varies directly with x option (C) is correct.
What is a proportional relationship?
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
y vary directly with x
y ∝ x
y = kx
k is the constant.
k = y/x
Checking table A:
k = -2/1 = -4/2 ≠ -16/3
Checking table B:
k = -5/1 ≠ 18/2 = 41/3
Checking table C:
k = 26/1 = 52/2 = 78/3 = 26
Thus, table C shows the proportional relationship between x and y that y varies directly with x option (C) is correct.
Learn more about the proportional here:
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