To determine the correct response, we need to analyze the slope of the line segment from point D to point E on the graph representing Daniel's bike ride.
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If the slope is 0, it means that the line is horizontal, indicating that Daniel is not moving further away from home; he is maintaining the same position over time.
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A slope of -1 indicates that for every meter Daniel moves in the horizontal direction (time), he moves down 1 meter in the vertical direction (distance), suggesting a speed of less than 1 meter per minute.
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An undefined slope indicates a vertical line, meaning that Daniel's position is changing instantaneously at that moment, which implies his speed could be varying.
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A slope of 1 indicates that for every meter spent in time, Daniel moves up 1 meter in distance, hence his speed is 1 meter per minute.
Since we don’t have the actual values or the graphical representation, the most logical response often depends on the context given by the problem:
- If the slope is 0, that means Daniel is stationary.
- If the slope is -1, that implies Daniel is slowing down at a rate of 1 meter per minute.
- If undefined, that indicates a change in speed or position.
- If the slope is 1, it means he is moving steadily at 1 meter per minute.
Please choose the option that most accurately reflects the graph you’re looking at.