The whooping crane (Grus americana) is the tallest bird native to North America. It almost went extinct in the 1900s; in 1938, there were on

Question

The whooping crane (Grus americana) is the tallest bird native to North America. It almost went extinct in the 1900s; in 1938, there were only 18 whooping cranes left in the wild. Since then, its population has increased. The number of whooping cranes (N) is related to the number of decades since 1938 (t) by the following expression: ln(N) = 2.85 + 0.039t.
The exponential relationship can be written as N = nakt, where n, a, and k are constants. Determine the value of a.

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Thu Thảo 4 years 2021-07-28T01:06:07+00:00 1 Answers 101 views 0

Answers ( )

  1. Tryphena
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    2021-07-28T01:07:12+00:00
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    Answer:

    The value  is   a = 2.7183

    Explanation:

    From the question we are told that

       The  relationship between the number of whooping cranes and the number of decades is ln N = 2.85 + 0.039t

      The  exponential relationship is  N = na^{kt}

    Now from the given equation we have that

           N = e^{2.85 + 0.039t}

           N = 17.29 e^{0.039t}

    So comparing this equation obtained an the given  exponential relationship we have that

          n = 17.29

           k = 0.039

            a = e = 2.7183

            a = 2.7183

     

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