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For question 4, which asks to find the rate of change of the pallet weight with respect to the number of boxes:

The rate of change, also called the slope in a graph, is calculated using the formula:

\[
\text{slope} = \frac{\text{change in weight}}{\text{change in number of boxes}} = \frac{\Delta y}{\Delta x}
\]

From the graph:
- At 1 box, the weight is 20 lbs.
- At 5 boxes, the weight is 60 lbs.

Now, calculate the slope:

\[
\text{slope} = \frac{60 - 20}{5 - 1} = \frac{40}{4} = 10 \, \text{lbs per box}
\]

Thus, the rate of change is **10 pounds per box**.

Would you like more details on this or the next part of the problem?

Here are 5 related questions:
1. What does the slope represent in this context?
2. How would you interpret a slope of 0 in such a graph?
3. How can you use the slope to make future predictions about the weight?
4. What would happen if the slope was negative?
5. How does the y-intercept (where the line crosses the y-axis) affect the understanding of the pallet weight?

**Tip:** When interpreting graphs, always pay attention to the axes labels and units to make sense of the slope or rate of change.

Clark loads boxes of paper on a pallet before shipping them. The graph shows the linear relationship between the number of boxes of copy paper and the weight of the pallet. Find the rate of change of the pallet weight with respect to the number of boxes.

Learn how to determine the rate of change of pallet weight with respect to the number of boxes using a linear graph. This problem covers key concepts like slope and rate of change, suitable for students in Grades 6-8.

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