Question

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

Answer 1

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.