To determine which graph represents Tina's bike ride based on her described behavior:
- Starts pedaling and speed increases steadily: This should be represented by an upward slope on the graph.
- Coasts at a constant speed: This will appear as a horizontal line segment at a consistent speed.
- Starts pedaling again with a slower increase in speed: This indicates another upward slope, but not as steep as the first.
- Coasts again at constant speed: Another horizontal line segment at a new constant speed.
- Final decrease in speed until stopping: This should be a downward slope leading back to zero speed.
From your descriptions of the graphs:
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The first graph shows:
- Speed increasing from (0,0) to (3,6) (upward slope).
- Constant speed from (3,6) to (7,6) (horizontal).
- An increase from (7,6) to (12,10) (upward slope, but now at a higher speed).
- Constant speed from (12,10) to (16,10) (horizontal).
- Finally decreasing from (16,10) to (19,0) (downward slope).
This graph matches Tina's behavior well, especially with the two phases of constant speed and the increase in speed again.
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The second graph doesn't have a second increase in speed after coasting. It goes directly to a stop after a different pattern which doesn't match the description.
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The third graph shows an initial increase but then a stop, not a second increase in speed, which also doesn't capture the complete behavior.
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The fourth graph presents a combination that doesn't match the description either, as it incorrectly shows increases and decreases without proper coasting.
Therefore, the first graph best represents Tina's bike ride with all characteristics matching her speed changes accurately.