Relationship B has a greater rate than Relationship A. This graph represents Relationship A.

What table could represent Relationship B?

Time (weeks)
2 5 6 9
Plant growth (in.)
1.2 3 3.6 5.4

Time (weeks)
2 5 6 9
Plant growth (in.)
1.6 4 4.8 7.2

Time (weeks)
3 4 6 9
Plant growth (in.)
1.5 2 3 4.5

Time (weeks)
2 5 6 9
Plant growth (in.)
1.4 3.5 4.2 6.3

The second table could represent relationship B.

Step-by-step explanation:

Step 1:

The tables give a relationship between the growth of a plant and the number of weeks it took.

To determine the rate of each table, we determine the growth of the plant in a single week.

The growth rate in a week = .

Step 2:

For the given graph, the points are (4, 3) and (8, 6).

The growth rate in a week =

So the growth rate for relationship A is 0.75.

Step 3:

Now we calculate the growth rates of the given tables.

Table 1's growth rate in a week =

Table 2's growth rate in a week =

Table 3's growth rate in a week =

Table 4's growth rate in a week =

Since relationship B has a greater rate than A, Table 2 is relationship B.