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9-45.

Eliana likes to use an app to graph her runs. The graph below shows her run from her house to the park and back.

First quadrant piecewise graph, x axis labeled, time (minutes), y axis labeled, distance (miles). 1st section, segment from origin to the point (20, comma 2), then horizontal to the point (30, comma 2), then increasing to the approximate point (45, comma 4)

  1. Write a description of Eliana’s run based on the graph.

    She ran miles to the park, rested for about minutes, and then ran home more quickly.

  1. What was Eliana’s running speed from her house to the park? Give units.

  2. What was Eliana’s running speed minutes after she started her run? How does your answer relate to the slope of the graph?

    Look at the hint in part (b). How is speed related to slope in this situation?

  3. What was Eliana’s running speed from the park to her house? Justify your answer using the graph.

    mi/min