Relationship b has a lesser rate than relationship a. the graph represents relationship a. which table could represent relationship b? first-quadrant graph showing a ray from the origin through the points (2, 3) and (4, 6). horizontal axis label is time in weeks. vertical axis label is plant growth in inches. a. time (weeks) 3 6 8 10 plant growth (in.) 2.25 4.5 6 7.5 b. time (weeks) 3 6 8 10 plant growth (in.) 4.8 9.6 12.8 16 c. time (weeks) 3 4 6 9 plant growth (in.) 5.4 7.2 10.8 16.2 d. time (weeks) 3 4 6 9 plant growth (in.) 6.3 8.4 12.6 18.9

Given that Relationship B has a lesser rate than Relationship A and that the graph representing Relationship A is a first-quadrant graph showing a ray from the origin through the points (2, 3) and (4, 6) where the horizontal axis label is Time in weeks and the vertical axis label is Plant growth in inches.

The rate of relationship A is given by the slope of the graph as follows:



To obtain which table could represent Relationship B, we check the slopes of the tables and see which has a lesser slope.

For table A.
Time (weeks)36810
Plant growth (in.)2.254.567.5



For table B.
Time (weeks)36810
Plant growth (in.)4.89.612.816



For tabe C.
Time (weeks)3469
Plant growth (in.)5.47.210.816.2



For table D.
Time (weeks)3469
Plant growth (in.)6.38.412.618.9



Therefore, the table that could represent Relationship B is table A.

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