We can conclude that: All of the y-values in the table of values are not a constant multiple of the corresponding x-values, so the relationship is not proportional.
<h3>How tp Determine if a Table Represents a Proportional Relationship?</h3>
A given table of values that represents a proportional relationship will have all of its y-values as a constant multiple (k) of its corresponding x-values. Thus, the constant of proportionality, k, = y/x.
Given the table of values above, find the constant multiple, k, between each pair of values:
k = 2.4/2 = 1.2, [for (2, 2.4)]
k = 5.6/4 = 1.4, [for (4, 5.6)]
k = 9.6/6 = 1.6, [for (6, 9.6)]
k = 14.4/8 = 1.8, [for (8, 14.4)]
Thus, we can see that the pair of values in the given table of values each has different ratio of y to x.
There is no constant multiple or constant of proportionality. This means, the table of values given does not represent a proportional relationship.
In conclusion, we can state that: All of the y-values in the table of values are not a constant multiple of the corresponding x-values, so the relationship is not proportional.
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