1. The problem asks which graph best represents Arianna's speed over time as she jogged the Pinecreek Loop Trail. 2. Arianna started at a quick pace, so her speed was initially high. 3. At about the halfway point, she began to tire and gradually slowed down, so her speed decreased over time. 4. We need a graph that starts with a high speed and then shows a gradual decrease. 5. Graph 1 shows speed starting near zero and increasing exponentially, which does not match. 6. Graph 2 shows speed starting high and then curving downward steeply, indicating slowing speed over time, which matches the description. 7. Graph 3 shows speed steadily increasing, which contradicts the slowing down. 8. Graph 4 shows speed increasing then decreasing linearly, which could fit but the problem states a gradual slowing, not a linear increase then decrease. 9. Therefore, Graph 2 best represents Arianna's speed over time. Final answer: Graph 2 (top-right)