Question 3.5.8: Rewriting the Model for World Population in Base e We have s...
Rewriting the Model for World Population in Base e
We have seen that the function
g(x)=2.577(1.017)^x
models world population, g(x), in billions, x years after 1949. Rewrite the model in terms of base e.
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We use the two equivalent equations shown in the voice balloons to rewrite the model in terms of base e.
is equivalent to
Using ln 1.017 ≈ 0.017, the exponential growth model for world population, g(x), in billions, x years after 1949 is
g(x)=2.577 e^{0.017 x}.
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