Which of the following could be a scenario for this graph which shows km/hour (speed)?

Question

(1 point)
Responses

Joan is going at a constant speed away from home for 5 hours, then stops, picks up speed, then stops, then heads back home.
Joan is going at a constant speed away from home for 5 hours, then stops, picks up speed, then stops, then heads back home.

Joan climbed a small hill and then a much bigger hill.
Joan climbed a small hill and then a much bigger hill.

Joan did not rest the whole trip until she was able to just cruise down the hill at the end of her journey.
Joan did not rest the whole trip until she was able to just cruise down the hill at the end of her journey.

Joan went further away from home for about 8 hours, rested, and then headed back home.
Joan went further away from home for about 8 hours, rested, and then headed back home.

Joan increased her speed from 0 to 5 hours, then rested until 14 hours had passed.

Answer 1

To determine which scenario best fits the provided graph showing speed in km/hour, we would ideally look for clues regarding whether the speed is constant, increasing, or decreasing, as well as any periods of rest or changes in direction.

Based on the scenarios you provided:

1. Joan is going at a constant speed away from home for 5 hours, then stops, picks up speed, then stops, then heads back home.
   This scenario suggests alternating periods of constant speed and stops, which could be reflected in the graph.

2. Joan climbed a small hill and then a much bigger hill.
   This scenario implies a gradual increase in speed, possibly peaking and then declining, which may or may not fit depending on the shape of the graph.

3. Joan did not rest the whole trip until she was able to just cruise down the hill at the end of her journey.
   This suggests a continuous increase in speed followed by a final decrease, which could fit if the graph shows an increase followed by a drop.

4. Joan went further away from home for about 8 hours, rested, and then headed back home.
   This scenario implies an extended period at one speed, a rest, and then potentially a different speed on the way back, which could match a graph with a flat line, then a decline.

5. Joan increased her speed from 0 to 5 hours, then rested until 14 hours had passed.
   This suggests an initial acceleration followed by a flat line for a rest period, which would fit a graph with a steady increase followed by a plateau.

To provide a definitive answer, we would need to match the specific shape of the graph to these scenarios. However, if the graph shows clear variations in speed with rest periods, scenario 1 or 4 might be the most fitting, while scenario 5 suggests a specific type of change (increase then plateau). If the graph is more linear or shows no significant resting periods, then scenario 5 becomes more relevant.

In summary, the most likely answer would depend on the exact appearance of the graph, but based on typical speed change scenarios, the first scenario seems likely given it has active and rest periods. If the graph indicates a long period of constant motion then rest, the fourth scenario would also be a strong contender.