Question

the graph shows the linear relationship between the height of the plant(in centimeters) and the time(in weeks) that the plant has been growing

Answer 1

• The rate of change is 4
• The rate of change is 4/1
• The plant grows 4 cm in 1 week

Explanation:

You want to identify the rate of change of a graph that has points 1 week apart horizontally and 4 cm apart vertically.

Rate of change

The rate of change (m) of a curve on a graph is the ratio of rise to run.

Here, the graphed points differ by 4 cm vertically, and 1 cm horizontally. The rate of change is ...

m = rise/run = (4 cm)/(1 week) = 4 cm in 1 week

= 4/1 = 4 . . . . . centimeters per week

The rate of change can be described as ...

• 4
• 4/1
• 4 cm in 1 week