Question

Using the graph given below, identify which plant has the greater rate of growth.

• A. Plant B
• B. Can't be determined
• C. Plant A
• D. Both have same rate of change

Answer 1

The correct option is A Plant B


From the graph for plant A

Let us consider the two points, say (1,10) and (7,30)

$\text{The rate of change}=\frac{\text{Change in y}}{\text{Change in x}}$

$=\frac{30-10}{7-\left(1\right)}$

$=\frac{20}{6}$

$=3.33$

The rate of growth for plant A is 3.33

From the graph for plant B

Let us consider the two points, say (1,10) and (4,40)

$\text{The rate of change}=\frac{\text{Change in y}}{\text{Change in x}}$

$=\frac{40-10}{4-\left(1\right)}$

$=\frac{30}{3}$

$=10$

Hence rate of growth for plant B is greater than plant A.