Question

Use the formula t=ln2/k that gives the time for a population, with a growth rate k, to double, to answer the following question.

Answer 1

Answer:

• k = 0.005
• doubling time ≈ 139 years

Step-by-step explanation:

Matching the form

  A = A0·e^(kt)

to the given equation

  A = 8·e^(.005t)

we can identify the value of k as being 0.005.

  k = 0.005

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The doubling time is given by the formula ...

  t = ln(2)/k = ln(2)/0.005 ≈ 138.63

It will take about 139 years for the population to double.