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To find the rate of change of the plant's growth over time, we need to calculate the slope between the two points on the graph, which represent the plant's height at different times. The slope formula is:

\[
\text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Given points:
- Point 1: \( (5, 2) \)
- Point 2: \( (10, 4) \)

Now, substitute the values:

\[
\text{slope} = \frac{4 - 2}{10 - 5} = \frac{2}{5} = 0.4
\]

Thus, the rate of change of plant growth over time is **0.4 inches per week**.

The correct answer is:
- **0.4 inches per week**

Would you like more details on slope calculations or have any other questions?

Here are some related questions:
1. What does a positive slope indicate in the context of growth?
2. How would the rate of change be interpreted if the graph showed a horizontal line?
3. What does a steeper slope represent in terms of plant growth?
4. How can we calculate the rate of change if we have more than two points?
5. What unit of measurement would the slope have if the graph used days instead of weeks?

**Tip:** The slope formula can be applied to find rates of change in various contexts, not just for growth graphs.

What is the rate of change of plant growth over time?

Learn how to calculate the rate of change of plant growth over time using slope formula. This problem involves determining the slope between two points on a graph, representing plant height and time. Suitable for students in Grades 7-9.

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