https://file.aiquickdraw.com/mathbot/file/1725880888730i3utwenq.jpg

The graph in the image represents how the total fare varies with distance for two cab services, labeled as **Service A** and **Service B**. The task is to complete the table by finding the **Fixed Amount (in $)** and the **Amount Charged per Mile (in $)** for each service.

### Analyzing the Graph:
1. **Fixed Amount**: This corresponds to the value where the line intersects the y-axis (Total Fare in $) when the distance is 0.
   - For **Service A**: The line intersects the y-axis at $25.
   - For **Service B**: The line intersects the y-axis at $15.

2. **Amount Charged per Mile**: This is the slope of the line, calculated by the change in total fare per mile.
   - For **Service A**: The fare increases from $25 to $65 over 10 miles, so the rate per mile is $\frac{65 - 25}{10} = 4$ dollars per mile.
   - For **Service B**: The fare increases from $15 to $55 over 10 miles, so the rate per mile is $\frac{55 - 15}{10} = 4$ dollars per mile.

### Completing the Table:
| Cab Service | Fixed Amount (in $) | Amount Charged per Mile (in $) |
|-------------|---------------------|--------------------------------|
| A           | 25                  | 4                              |
| B           | 15                  | 4                              |

Would you like further clarification or details on the calculations?

### Related Questions:
1. What is the mathematical formula for the total fare for Service A?
2. How would the total fare change for a 20-mile trip with each service?
3. Can you explain the significance of the fixed amount in the fare structure?
4. How can the graph's slope be used to determine the rate per mile?
5. How would the fare comparison change if Service A had a higher fixed cost but lower per-mile charge?

### Tip:
The slope of a line on a graph always represents the rate of change of the y-variable with respect to the x-variable.

The graph represents how the total fare varies with distance traveled for two cab services, Service A and Service B. The task is to complete the table by finding the Fixed Amount (in $) and the Amount Charged per Mile (in $) for each service.

This problem involves analyzing a graph that compares total fare with distance traveled for two cab services, A and B. The solution includes calculating the fixed amount and the rate charged per mile using linear equations, suitable for Grades 6-8.

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