To properly address the question about the slope of the line in the graph showing the distance traveled by an Olympic-level sprinter over time, let's clarify how to find and interpret the slope.
The slope of a line in a distance vs. time graph is calculated using the formula:
\[ \text{slope} = \frac{\text{change in distance}}{\text{change in time}} \]
This slope represents the speed or velocity of the sprinter—essentially how much distance is covered in a certain amount of time.
Now, without seeing the actual graph, I can only help interpret the options based on general knowledge:
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Option A: If the slope is 10, the distance covered per second would be 10 meters per second.
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Option B: A slope of \( \frac{1}{2} \) would mean the sprinter covers 0.5 meters each second, which does not seem representative of Olympic-level sprinters.
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Option C: A slope of 0 implies the sprinter is not moving, which contradicts the statement about being an Olympic-level sprinter.
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Option D: A slope of \( \frac{20}{2} \) simplifies to 10, similar to Option A.
Given conventional values for Olympic sprinters, the most plausible answer would likely be A or D, with both suggesting a slope of 10 units, indicating a speed of 10 meters per second.
Based on this assessment, if the slope is indeed 10, the correct answer would be Option A.