Question 1096501
<br>The logistic function is<br>
{{{f(x)=95000/(1+4749.0e^(-1.3t))}}}<br>
Every logistic function is of this form.  The maximum value of the function is always the numerator of the fraction.<br>This is easily seen by considering what happens to the expression as t gets very large ("goes towards infinity").<br>
As t gets larger, the expression {{{e^(-1.3t)}}} gets smaller; in the limit as t goes to infinity, that expression goes to 0.  Then the denominator of the becomes (in your example) {{{1+4749.0*0 = 1}}}<br>
And with the denominator going to 1, the numerator becomes the function value.<br>
So the limiting size of the population that becomes ill in your example is 95,000.