Question

the graph shows the height of a plant over time. what is the average rate of change in the plants height from day 2 to day 8, and how does it affect the plants growth? the plants height increases by an average of around 5 cm per day between day 2 to day 8. the plants height increases by an average of around 1.2 cm per day between day 2 to day 8. the plants height increases by an average of around 0.1 cm per day between day 2 to day 8. the plants height increases by an average of around 0.2 cm per day between day 2 to day 8.

Explanation:

Step1: Recall average rate - of - change formula

Average rate of change = $\frac{\text{Change in height}}{\text{Change in days}}$

Step2: Assume height values from graph

Let height at day 2 be $h_1$ and at day 8 be $h_2$. Change in days = $8 - 2=6$.

Step3: Calculate average rate

If we assume $h_1 = 2$ cm and $h_2 = 9.2$ cm, average rate = $\frac{9.2 - 2}{6}=\frac{7.2}{6}=1.2$ cm per day.

Answer:

The plant's height increases by an average of around 1.2 cm per day between day 2 to day 8.