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The problem is asking you to choose a graph that represents a viewing rectangle defined by the coordinates \((-40, 10)\) and \((-20, -10)\), and then determine how many tick marks should be on the positive x-axis.

### Step 1: Understanding the Viewing Rectangle
The viewing rectangle is defined by two opposite corners:
- Top-left corner: \((-40, 10)\)
- Bottom-right corner: \((-20, -10)\)

### Step 2: Determine the Range for the x-axis and y-axis
- **x-axis range:** The x-values go from \(-40\) to \(-20\). The range is:
  \[
  \text{Range on x-axis} = -20 - (-40) = 20
  \]
- **y-axis range:** The y-values go from \(10\) to \(-10\). The range is:
  \[
  \text{Range on y-axis} = 10 - (-10) = 20
  \]

### Step 3: Tick Marks on the Positive x-axis
The question asks for the number of tick marks on the positive x-axis. Since the viewing rectangle only covers the negative part of the x-axis (from \(-40\) to \(-20\)), there are no positive x-values included in this range.

Thus, **there should be 0 tick marks on the positive x-axis.**

### Final Answer:
- **Number of tick marks on the positive x-axis:** 0

Would you like more details on any part of the solution, or do you have any questions?

### Related Questions:
1. What would the tick marks look like on the negative x-axis?
2. How would the viewing rectangle change if one of the coordinates were altered?
3. What would be the number of tick marks if the viewing rectangle included part of the positive x-axis?
4. Can you plot the rectangle on a graph manually?
5. How does the range of the y-axis affect the viewing window?

### Tip:
When analyzing a graph, always carefully determine the ranges covered by both the x-axis and y-axis before answering questions about tick marks or specific points within that range.

Choose the graph that represents the following viewing rectangle: ((-40, 10), (-20, -10)). How many tick marks should be on the positive x-axis?

Learn how to choose the correct graph representing a viewing rectangle defined by the coordinates (-40, 10) and (-20, -10). This problem helps students understand coordinate geometry, graph interpretation, and the significance of tick marks on axes, especially when the viewing rectangle covers only negative x-values.

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