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siness Calculus

Shannon Sullivan

Question $12,4\mathrm{.}4\mathrm{.}57-$BE

HW Score: $60\mathrm{.}64\%,9\mathrm{.}7$ of $16$ points

Part $1$ of $0$

Points: $0$ of $1$

The growth in the number $($in millions$)$ of Internet users in a certain country between $1990$ and $2019$ can be approximated by a logistic function with $k=0\mathrm{.}0014,$ where t is the number of years since $1990.$ In $1990($when $t=0),$ the number of users was about $2$ million, and the number is expected to level out around $220$ million.

$($a$)$ Find the growth function $Q(1)$ 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$)2000$

$($d$)2011$

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

$($a$)G(t)=$

$($Type an exact answer in terms of e$.)$