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The graph models the linear relationship between the number of gallons of fuel remaining in the tank of a semitruck and the number of miles traveled by the semitruck. Which statement best describes the x-intercept of the graph?

To address the problem, let's analyze the graph, which displays a linear relationship between the gallons of fuel remaining in a semitruck's tank (on the y-axis) and the number of miles traveled (on the x-axis).

### Key Observations:
1. **X-Axis (Horizontal)**: This represents the "Number of Miles Traveled."
2. **Y-Axis (Vertical)**: This indicates the "Number of Gallons of Fuel Remaining."
3. **X-Intercept**: The x-intercept is the point where the line crosses the x-axis, meaning the value of the y-coordinate is 0 (i.e., no fuel remains in the tank).

### Explanation:
In the context of this problem:
- The x-intercept represents the number of miles the semitruck can travel before it runs out of fuel.
- Observing the graph, the x-intercept is at approximately \( x = 450 \) miles. This means that after traveling 450 miles, the semitruck’s fuel tank would be empty.

### Conclusion:
The best statement describing the x-intercept is: 
**"The x-intercept indicates the maximum number of miles the semitruck can travel before running out of fuel."**

Would you like more details on how to interpret intercepts, or do you have any questions?

### Related Questions:
1. What does the y-intercept of this graph represent?
2. How can you determine the slope from this graph?
3. If the truck starts with 270 gallons, how many miles can it travel with half the fuel?
4. What does a negative slope imply about the fuel consumption?
5. How would the graph change if the truck's fuel efficiency improved?

### Tip:
For any linear graph, the x-intercept is found by setting \( y = 0 \) and solving for \( x \).

Analyze the graph representing the linear relationship between fuel remaining and miles traveled by a semitruck. Learn about the x-intercept, which indicates the maximum miles the truck can travel before running out of fuel. Ideal for Grades 6-8.

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