The graph below shows total distance traveled versus time of travel for a moving object. Which statement about this straight line graph is correct?

1 answer

To analyze a straight-line graph depicting total distance traveled versus time, consider the following aspects:

  1. Slope of the Line: The slope of the line represents the speed or velocity of the object. A steeper slope indicates a higher speed, while a gentler slope indicates a lower speed. If the line is horizontal, it means the object is at rest, as there is no change in distance over time.

  2. Constant Rate of Travel: If the line is straight and not curved, it implies that the object is traveling at a constant speed. If the line rises steadily, it indicates that the distance is increasing linearly with time, suggesting uniform motion.

  3. Intercept: The y-intercept of the line (if it starts from the origin) indicates the starting distance of the object. If it starts from a point above the origin, this suggests that the object had some initial distance covered before the time measurement began.

Based on this analysis, a correct statement about the graph would usually address either the constant speed of the object, the uniformity of its motion over time, or a description of its speed as indicated by the slope. If you provide more specific details about the graph, I can help formulate a precise statement!