QuestionSlope As a Rate of Change
Slope is often referred to as a rate of change because it compares the change in one variable (the rise) to the change in another variable (the run).
Chris runs each day as part of his daily exercise. The graph shows his distance from home as he runs his route.
Calculate his rate of change (speed) for each segment of the graph and describe what is happening in each segment. Don't forget to include units in your calculations!
\begin{tabular}{|c|c|c|}
\hline Segment & \begin{tabular}{c}
Slope (Rate of \\
Change)
\end{tabular} & \\
\hline AB & & \\
\hline BC & & \\
\hline CD & & \\
\hline DE & & \\
\hline
\end{tabular}
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Studdy Solution
Describe what is happening in each segment.
- Segment AB: Chris is running away from home at a speed of .
- Segment BC: Chris is stationary, as the distance does not change, with a speed of .
- Segment CD: Chris resumes running away from home at a speed of .
- Segment DE: Chris is stationary again, with a speed of .
- Segment EF: Chris is running back towards home at a speed of .
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