To determine which scenario could represent a graph showing speed (km/hour), we need to consider how speed varies over time. The options can reflect increasing speed, constant speed, resting (which would be a drop to 0 speed), and changes in direction (heading back home).
Here’s an analysis of each scenario:
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Joan did not rest the whole trip until she was able to just cruise down the hill at the end of her journey.
- This scenario suggests a gradual increase in speed, possibly reaching a high speed before descending, which may not directly align with a clear pattern on a speed graph.
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Joan increased her speed from 0 to 5 hours, then rested until 14 hours had passed.
- This scenario describes a gradual speed increase, followed by a sustained period of rest (speed dropping to 0). This would be a clear representation on a speed graph.
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Joan went further away from home for about 8 hours, rested, and then headed back home.
- This scenario implies a period of travel (speed above 0), followed by rest (speed drops to 0), and then possibly increasing speed again when returning home. It shows varying speeds and resting which can be represented on a graph.
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Joan climbed a small hill and then a much bigger hill.
- Climbing would typically involve variable speed, but it's not clear how this scenario directly translates to a graph with resting periods.
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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 has clear sections of constant speed, resting (speed drops), and change in direction. It can be easily represented on a speed graph.
Based on this analysis, the most fitting scenario, depending on the shape and details of the actual graph, would likely be:
5. 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 option encompasses clear periods of speed changes and resting that could effectively be represented in a speed (km/hour) graph.