Question

question 1.3
juan is sitting in a park near his home with a friend. after a few minutes, juan and his friend decide to walk for a while in the opposite direction of juan’s house. several minutes later, they decide to turn around and walk to juan’s house. at juan’s house, they sit down to watch a movie. select the graph that accurately depicts juan’s activity.

Explanation:

1. Initial State: Juan is sitting in a park near his home, so his distance from home starts at a constant, positive value (flat horizontal line at positive y).
2. First Movement: He walks away from home, so distance increases (upward sloping line).
3. Second Movement: He turns around and walks toward home until he reaches it, so distance decreases to 0 (downward sloping line to y=0).
4. Final State: He stays home to watch a movie, so distance remains 0 (flat horizontal line at y=0).
5. Matching this sequence to the graphs, only the first graph fits all steps correctly.

Answer:

The top-most graph (first option) with the sequence: flat positive line → upward slope → downward slope to 0 → flat line at 0.