Final answer:
The answer to the question on which statement is true about Xavier and Zander's running speeds based on a given graph cannot be provided without the actual graph. However, distance versus time graphs typically show that a steeper slope indicates a higher speed, and the rate of change is the speed at which the person or object is moving.
The correct answer is none of all.
Step-by-step explanation:
Without the specific graph mentioned in the student's question, I cannot directly answer which statement is correct (A, B, C, or D), as the graph is essential for determining the answer. However, I can explain how to interpret such a graph.
The rate of change in a distance versus time graph represents the speed or velocity at which an object is moving. If Xavier and Zander's distances run each hour are plotted, the slope of each line would represent their respective running speeds. The steeper the slope, the faster the speed. If Zander's line had a slope that corresponds to 5 miles per hour, then for every hour that passes, Zander would move 5 miles on this graph. However, without the graph, we cannot factually confirm any of the options presented in the student's question.
For other examples provided, it can be said that in a position versus time graph:
- A straight line indicates constant speed.
- A curve concave upwards would suggest an object is accelerating.
- A flat horizontal line indicates no movement through space.