4. The table below gives the world population, in billions, for eight selected years from 1950
through 2020.
Number of Years after 1949 World Population in Billions
1 (1950)
11 (1960)
21 (1970)
31 (1980)
41 (1990)
51 (2000)
61 (2010)
71 (2020)
2.6
3.0
3.7
4.5
5.3
6.1
6.9
7.5
The logistic growth model, based on this data, for the world population G(t), in billions,
t years after 1949 is given below. Note that this model is given in the form you found in
problem 3.
$$G(t) = \frac{10.95}{1 + 3.51e^{-0.029t}}$$
(a) (4pts.) The line y = 0 is one of the asymptotes of G(t), but isn't of interest. Find
the other horizontal asymptote by evaluating the following limit. Interpret the result.
Show your work.
$$\lim_{t \to \infty} \frac{10.95}{1 + 3.51e^{-0.029t}}$$
