The Malthus Rate Constant k
(a) If t is time measured in years, show that k = 0.03 results in an annual increase (or annual percentage growth rate) of approximately 3% per year, using equation (3).
(b) Plot the world population data in Table 1.1.1 on the same graph as the Malthus model.
(c) How might the Malthus exponential population model be modified to better fit the actual population data in Table 1.1.1? Make an argument for why the exponential function is not unreasonable for these data and identify what must change to fit the given data. This is a qualitative question rather than a quantitative one, so you need not find exact numbers.
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