Question 1058723
{{{ f(t) = 200000/( 1 + 2000*e^(-t) ) }}}
(a)
{{{ f(0) = 200000/( 1 + 2000*e^(-0) ) }}}
{{{ f(0) = 200000/( 1 + 2000 ) }}}
{{{ f(0) = 99.95 }}}
round off to {{{ 100 }}}
(b)
{{{ f(4) = 200000/( 1 + 2000*e^(-4) ) }}}
{{{ f(4) = 200000/( 1 + 2000*.0183156 ) }}}
{{{ f(4) = 200000/37.631278 }}}
{{{ f(4) = 5314.72 }}}
5,315 people were ill by the end of the 4th week
(c)
Let {{{ t }}} approach infinity
{{{ e^(-t) }}} will approach zero, so
{{{ f(inf) = 200000/( 1 + 0 ) }}}
{{{ f(inf) = 200000 }}}
The limit is that all of them become ill
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