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Upon arrival in a virus “hot zone”, you set up a field hospital to treat patients, and attempt to prevent the spread of the virus. For the next thirteen weeks, you collect the data shown at right for the number of new infections.

  1. Choose several interesting time periods and estimate the average rate of change in new infections.
    Explain why you chose the intervals you did.

    The average rate of change is another way of saying the slope of the graph.

  2. During what time period were the interventions most effective? Why?

    When the interventions were most effective, there were fewer number of new infections.

  3. Is there any time period that is concerning? Why?

    After weeks the number of new infections seems to be increasing!

First quadrant, x axis labeled Time (weeks), y axis labeled number of new infections, with the following approximate discrete points: (0, comma 700), (1, comma 700), (2, comma 700), (3, comma 500), (4, comma 375), (5, comma 225), (6, comma 150), (7, comma 125), (8, comma 90), (9, comma 75), (10, comma 25), (11, comma 50), (12, comma 75), (13, comma 90).