jessica likes to run laps after school while she waits for her brother to get out of band practice. she jogs…

Answer:

The first graph (top - left graph)

Explanation:

Step1: Analyze the nature of the run

Jessica is running laps. When she runs a lap, she starts from the starting position, moves away (distance from start increases), reaches the farthest point (maximum distance from start in that lap), then comes back to the starting position (distance from start becomes (0) at the end of each lap).

Step2: Analyze each graph

• Top - left graph: It has a pattern of increasing distance (leaving the start), reaching a maximum, and then decreasing back to (0) (returning to the start) repeatedly, which is consistent with running laps.
• Top - right graph: The distance keeps increasing without ever coming back to (0), which is not a lap - running pattern.
• Bottom - left graph: The graph starts with a non - zero distance, which is not the case as she starts from the starting position ((y = 0) when (x = 0)).
• Bottom - right graph: The distance keeps increasing without ever coming back to (0), which is not a lap - running pattern.