The table of values that belong to the proportional relationship y = 1/3x is given by:
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2.
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the non-trivial points are (3,1) and (6,2), hence the constant is given by:
k = 1/3 = 2/6 = 1/3.
Which means that the relationship is:
y = 1/3.
The table in which all the values of y are a third of the values of x is:
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2.
More can be learned about proportional relationships at https://brainly.com/question/10424180
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