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Relationship B has a greater 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 4, 3) and (8, 6). Horizontal axis label is Time in weeks. Vertical axis label is Plant growth in inches.


A.

Time (weeks) 2 5 6 9

Plant growth (in.) 1.2 3 3.6 5.4



B.

Time (weeks) 2 5 6 9

Plant growth (in.) 1.4 3.5 4.2 6.3



C.

Time (weeks) 2 5 6 9

Plant growth (in.) 1.6 4 4.8 7.2



D.

Time (weeks) 3 4 6 9

Plant growth (in.) 1.5 2 3 4.5

Relationship B has a greater rate than Relationship A. The graph represents Relationship A. Which table could represent Relationship B? First-quadrant graph sho class=

Verified Answer :

nobillionaireNobley

Rate in relationship A = (6 - 3)/(8 - 4) = 3/4 = 0.75

For Table A: Rate = (3 - 1.2)/(5 - 2) = 1.8/3 = 0.6

For table B: Rate = (3.5 - 1.4)/(5 - 2) = 2.1/3 = 0.7

For table C: Rate = (4 - 1.6)/(5 - 2) = 2.4/3 = 0.8

For table D: Rate = (2 - 1.5)/(4 - 3) = 0.5/1 = 0.5

Therefore, the correct answer is option C.