The relationship is not proportional. Therefore, the answer is: D. No, because the ratios between the quantities are not equal.
What is a Proportional Relationship?
A proportional relationship between two variables, x and y, is such that there is a constant of proportionality, k, that exists between the two variable, such that, y = kx. That is:
Constant of proportionality (k) = y/x.
The constant of proportionality, k, for every pair of values in the given relationship must be the same for the relationship to be considered a proportional relationship.
Given the table, find out if constant of proportionality, k, exist among all pairs of values. Thus,
For (1, 0.47):
k = y/x = 0.47/1 = 0.47
For (2, 0.68):
k = y/x = 0.68/2 = 0.34
For (3, 0.89):
k = y/x = 0.89/3 = 0.30
For (4, 1.10):
k = y/x = 1.10/4 = 0.28
As we can see, the ratio of y to x is different between the quantities. There is no constant of proportionality. Therefore, it is not a proportional relationship.
The answer is: D. No, because the ratios between the quantities are not equal.
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