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The graph provided shows a linear relationship between the number of pages of notes Meg takes and the time she spends in class. To find the rate of change, we need to calculate the slope of the line, which is given by the formula:

\[
\text{slope} = \frac{\text{change in } y}{\text{change in } x}
\]

In this case:
- The \( y \)-axis represents the number of pages.
- The \( x \)-axis represents the time in hours.

By inspecting the graph, two clear points on the line are:
1. (0, 40) — at 0 hours, Meg has 40 pages of notes.
2. (100, 100) — at 100 hours, Meg has 100 pages of notes.

Now, calculate the slope:
\[
\text{slope} = \frac{100 - 40}{100 - 0} = \frac{60}{100} = 0.6
\]

So, the rate of change is **0.6 pages per hour**.

Would you like more details or have any questions?

Here are 5 questions to further explore this:
1. What does a rate of 0.6 pages per hour mean in context?
2. How would the graph change if Meg's note-taking speed doubled?
3. What if Meg took no notes at the beginning (starting at 0 pages)?
4. Can you explain the significance of a positive slope in this scenario?
5. What happens to the slope if the graph becomes nonlinear?

**Tip:** The slope tells you how fast something is changing—in this case, how many pages Meg writes per hour.

What is the rate of change based on the graph showing the total pages of notes Meg writes in relation to the number of hours spent in class?

Learn how to determine the rate of change from a graph where the total pages of notes Meg writes depend on the hours spent in class. This problem involves calculating the slope of a linear relationship, suitable for students in Grades 6-8.

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