Using slopes, the table that could represent Relationship B is the second table.
What is the slope of a relationship?
The slope of a relationship is given by the change in y divided by the change in x.
For relationship A, we have points (2,3) and (4,6), hence the slope is:
mA = (6 - 3)/(4 - 2) = 3/2 = 1.5.
Then, the slopes in the table are given as follows:
- m = (8.4 - 6.3)/(4 - 3) = 2.1 > mA, hence the first table cannot be representation B.
- m = (4.5 - 2.25)/(6 - 3) = 0.75 < mA, hence the second table could represent Relationship B.
- m = (7.2 - 5.4)/(4 - 3) = 1.8 > mA, hence the third table cannot be representation B.
- m = (9.6 - 4.8)/(6 - 3) = 1.6 > mA, hence the fourth table cannot be representation B.
More can be learned about slopes at https://brainly.com/question/24674549
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