Final answer:
Maria's graph can prove whether Peter is correct or not by assessing the intersection points of two lines representing their charging rates. No intersection indicates they never charge the same amount, one intersection means there's one matching charge amount, and two intersections show two matching charge amounts.
Step-by-step explanation:
To determine how Maria's graph of two lines can prove that Peter is not correct, we must look at the intersection of the lines. The lines represent the rates at which Maria and Peter charge for a given distance. If the student's question is referring to the rates of charging, we should expect the following:
- If the two lines never intersect, it implies that there are no distances for which Peter and Maria charge the same amount (Option A).
- If the two lines intersect once, it means there is exactly one distance at which Peter and Maria charge the same amount (Option B).
- If the two lines intersect twice, there are two distinct distances where Peter and Maria's charges are the same (Option C).
- If the graph doesn't provide enough information, or if it's impossible to tell the relationship between the lines, then we cannot determine if Peter is correct (Option D).
To provide an accurate answer, we would need the context of the graphs in question. However, we can say that a graph can prove or disprove Peter's correctness based on where and how many times the lines representing their charging rates intersect.