Question

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

Answer 1

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 = $\frac{Difference in height}{time taken}$.

Step 2:

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

The growth rate in a week = $\frac{Difference in height}{time taken} = \frac{6-3}{8-4}=\frac{3}{4} = 0.75.$

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 = $\frac{Difference in height}{time taken} = \frac{3-1.2}{5-2}=\frac{1.8}{3} = 0.6.$

Table 2's growth rate in a week = $\frac{Difference in height}{time taken} = \frac{4-1.6}{5-2}=\frac{2.4}{3} = 0.8.$

Table 3's growth rate in a week = $\frac{Difference in height}{time taken} = \frac{2-1.5}{4-3}=\frac{0.5}{1} =0.5.$

Table 4's growth rate in a week = $\frac{Difference in height}{time taken} = \frac{3.5-1.4}{5-2}=\frac{2.1}{3} = 0.7.$

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