https://file.aiquickdraw.com/mathbot/file/1726780915686rjqs2qo8.jpg

Let's analyze the graph to find the number of dollars each sponsor pledges per kilometer.

1. **Sponsor A**: 
   - The line for Sponsor A passes through the origin (0, 0) and rises to $10 for 10 kilometers.
   - The slope (rate of increase) is calculated as the rise over the run. The line rises by $10 over a distance of 10 kilometers, so:
     \[
     \text{Pledge per kilometer} = \frac{10}{10} = 1 \text{ dollar per kilometer}.
     \]

2. **Sponsor B**: 
   - Sponsor B starts at $5 regardless of distance. This means it's a fixed pledge, not based on the distance walked.
   - Therefore, the pledge per kilometer is:
     \[
     \text{Pledge per kilometer} = 0 \text{ dollars per kilometer}.
     \]

3. **Sponsor C**:
   - The line for Sponsor C starts at (0, 0) and rises to $8 for 4 kilometers.
   - The slope is calculated as the rise over the run. The line rises by $8 over 4 kilometers, so:
     \[
     \text{Pledge per kilometer} = \frac{8}{4} = 2 \text{ dollars per kilometer}.
     \]

### Summary:
- **Sponsor A**: $1 per kilometer
- **Sponsor B**: $0 per kilometer (fixed $5 total pledge)
- **Sponsor C**: $2 per kilometer

Would you like further details on this, or have any questions?

Here are five related questions:
1. How do you calculate the slope of a line on a graph?
2. What does the slope represent in the context of this pledge graph?
3. Can you think of any other real-life examples where a graph would have a slope of zero?
4. What happens to the total amount pledged by each sponsor as the number of kilometers increases?
5. How would the graph look if Sponsor A doubled their pledge rate?

**Tip**: When analyzing linear relationships, always check if the line passes through the origin for a direct proportionality (e.g., distance vs. rate).

What is the number of dollars per kilometer each sponsor pledges, based on the graph showing walkathon pledge plans from three sponsors?

Analyze the graph of walkathon pledge plans from three sponsors and learn how to calculate the rate of dollars per kilometer each sponsor pledges. Suitable for middle school students, this problem covers linear relationships, slope, and rates.

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