Explain why the quantity st is represented by the slope of


Question: The distance, s, traveled by a cyclist, who starts at 1 pm, is given in Figure. Time, t, is in hours since noon.

(a) Explain why the quantity s/t is represented by the slope of a line from the origin to the point (t, s) on the graph.

(b) Estimate the time at which the quantity s/t is a maximum.

(c) What is the relationship between the quantity s/t and the instantaneous speed of the cyclist at the time you found in part (b)?

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Mathematics: Explain why the quantity st is represented by the slope of
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