In the context of the relationship between the amount of gasoline remaining in a 50-liter tank and the distance driven, the x-intercept of a graph represents the point at which the amount of gasoline reaches zero.
Therefore, in this situation, the x-intercept indicates the total distance driven until the car is out of gas.
To summarize the options:
- Fuel capacity of the gasoline tank: This would relate to the maximum y-value, not the x-intercept.
- Total distance traveled during a long trip: This could be represented by different points on the graph, not specifically the x-intercept.
- Total distance driven until the car is out of gas: Correct, this represents the x-intercept.
- Number of kilometers driven per liter of gasoline: This is not directly represented by the x-intercept.
Thus, the best choice is that the x-intercept represents the total distance driven until the car is out of gas.