The values in Table A exhibit a proportional relationship with the constant 1/2. Hence, values in table A shows a proportional relationship.
X α Y ; X = kY
k = constant of proportionality
For table 1 :
1 = 2k
k = 1/2
Let's check if all values Y gives the same values of X in the table :
When Y = 6
X = 1/2 × 6 = 3
When Y = 8
X = 1/2 × 8 = 4
When Y = 10
X = 1/2 × 10 = 5
The plot of Table A is attached below :
Therefore, since the values in the table corresponds to those calculated using the constant of proportionality, then it is Table A which shows a proportional relationship.
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