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7-165.

GraphStingray populations grow based on the differential equation below, where is the population (in thousands) and is time in years. Use the graph of the slope field at right to complete parts (a) through (c) below. Homework Help ✎

  1. If there are stingrays for time , sketch a curve representing the population of stingrays.

    The starting point of the curve is (0, 3000).

  2. What if the original population when is stingrays? Draw this population curve and decide if its rate of growth is the same or different as that in part (a).

    The starting point of the curve is (0, 10,000).

  3. What if the original population when is stingrays? Draw this population curve and decide if its rate of growth is the same or different as those in parts (a) and (b).

    Based on parts (a) and (b), you should have noticed that both curves approached the same value over time.
    The starting point of this curve is . Do you think it will approach the same threshold?