To determine which scenario could match the graph showing km/hour (speed), we need to analyze the possible speed changes described in each response.
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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 implies a gradual decrease in speed as she reaches the downhill and may not convey specific speed changes over time.
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Joan went further away from home for about 8 hours, rested, and then headed back home.
- This would likely indicate an increase in speed initially, a constant speed away from home, a pause (rest), and then a possible return with varying speeds, which may not specifically fit clear segments of speed changes.
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Joan increased her speed the first 5 hours, then held a constant speed, then increased her speed, stayed at a constant speed, then decreased her speed until she stopped.
- This description suggests clear phases of increasing and decreasing speeds, which aligns well with a graph displaying speed changes over time.
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Joan increased her speed from 0 to 5 hours, then rested until 14 hours had passed.
- This would likely show an increase in speed up to a point, then a significant flat line in speed (rest period), which may not have complexities in increasing and decreasing speed.
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Joan climbed a small hill and then a much bigger hill.
- This scenario indicates changes in speed due to elevation but does not specify the exact pace or speed changes over time.
Based on the need for variability in speed and distinct phases, the most fitting scenario for a graph that shows km/hour (speed) would be:
Joan increased her speed the first 5 hours, then held a constant speed, then increased her speed, stayed at a constant speed, then decreased her speed until she stopped.
This response most clearly aligns with the characteristics of speed changes over time as typically portrayed in a speed graph.