To determine which scenario best corresponds to the graph, we would need to analyze the characteristics of the graph, such as increases, decreases, plateaus, and any periods of rest or constant speed. Since the exact shape of the graph is not provided, we can make some educated guesses based on the scenarios:
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Joan climbed a small hill and then a much bigger hill. - This scenario likely involves a steady increase in altitude over time, which could be represented on a graph as a continuous upward slope.
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Joan increased her speed from 0 to 5 hours, then rested until 14 hours had passed. - This scenario would show a speed increase followed by a plateau where she is at rest for a significant period, possibly indicated by a flat line on the graph after the initial increase.
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Joan went further away from home for about 8 hours, rested, and then headed back home. - This would likely show a steady increase in distance for the first 8 hours, then a flat line for rest, followed by a decrease in distance as she returns home.
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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 continuous movement without stopping until the end, possibly resulting in a gradual increase and then a decrease at the end as she descends.
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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 would show a section of constant speed, followed by a flat line for stopping, then a section with a steeper slope for picking up speed, then another flat line for stopping, and finally a decrease when heading home.
Without the specific details of the graph, it's difficult to determine precisely which scenario fits best. However, the third option (Joan went further away from home for about 8 hours, rested, and then headed back home) is a common representation of distance vs. time graphs, featuring an increase, a plateau, and then a decrease, making it a likely candidate for a graph that shows a journey.
Please confirm or provide additional details about the graph for a more accurate match.