(a) Find the growth function G(t) for the number of Internet users in the country.


Estimate the number of Internet users in the country and the rate of growth for the following years.


(b) 1994

(c) 2001

(d) 2010


(e) What happens to the rate of growth over time?

The logistic function is given as,
,
where G_{0}=initial number
m= maximum possible number
t=time
k=constant
(a) In the given problem,
G0=44 million
m = 220 million
k= 0.0016
plugging all these vlaues in the logistic function,
(b) in year 1994,
t=4 years, ( since stating year is 1990)
plugging t=4 in G(t),
(c) in year 2001,
t=11 years
(d) in year 2010,
t=20 years,
(e) From the above cases, we see that as the year goes up, the growth rate increases.
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