To represent the scenario you described, let's define our variables clearly:
- Let \( x \) represent the number of trips made by cars.
- Let \( y \) represent the number of trips made by vans.
Based on your statement that the number of trips made by the cars was more than the number of trips made by the vans, we can form the following inequality:
\[ x > y \]
Step 1: Graph the Inequality
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Identify the line: The line corresponding to the inequality \( x = y \) can be plotted. This line is where the number of trips made by cars equals the number of trips made by vans.
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Draw the line:
- You can draw a diagonal line through the origin (0,0) at a 45-degree angle where \( x = y \).
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Shade the correct region: Since the inequality is \( x > y \), we need to shade the region above the line \( x = y \). This is because we are looking for all points where the number of trips made by cars is greater than the number of trips made by vans.
Step 2: Include Axes
- Ensure both the x-axis (representing the number of trips made by cars) and the y-axis (representing the number of trips made by vans) are included in the graph.
- Label your axes appropriately.
Final Graph Representation
Here's how the graphical representation would look like (please visualize or use graphing software, as I can’t produce images):
- Draw the line \( y = x \).
- Shade above this line to represent \( x > y \).
Conclusion
The inequality \( x > y \) clearly shows that the number of car trips exceeds the number of van trips, and the graphical representation provides a visual understanding of this relationship.