document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058723>Question 1058723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The logistic growth function below describes the number of people, f(t), who became ill with the flu “t” weeks after its initial outbreak in a particular community.<BR>\n" );
document.write( "f(t)=200,000/1+2000e^-t<BR>\n" );
document.write( "(a) How many people became ill with the flu when the epidemic began? (round to the nearest whole number) Answer: 100<BR>\n" );
document.write( "(b) How many people were ill by the end of the fourth week? (round to the nearest whole num-ber)<BR>\n" );
document.write( "(c) What is the limiting size of the population that became ill? EXPLAIN in words please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673848 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28t%29+=+200000%2F%28+1+%2B+2000%2Ae%5E%28-t%29+%29+ ALIGN=MIDDLE  ALT=\"+f%28t%29+=+200000%2F%28+1+%2B+2000%2Ae%5E%28-t%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%280%29+=+200000%2F%28+1+%2B+2000%2Ae%5E%28-0%29+%29+ ALIGN=MIDDLE  ALT=\"+f%280%29+=+200000%2F%28+1+%2B+2000%2Ae%5E%28-0%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%280%29+=+200000%2F%28+1+%2B+2000+%29+ ALIGN=MIDDLE  ALT=\"+f%280%29+=+200000%2F%28+1+%2B+2000+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%280%29+=+99.95+ ALIGN=MIDDLE  ALT=\"+f%280%29+=+99.95+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "round off to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+ ALIGN=MIDDLE  ALT=\"+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%284%29+=+200000%2F%28+1+%2B+2000%2Ae%5E%28-4%29+%29+ ALIGN=MIDDLE  ALT=\"+f%284%29+=+200000%2F%28+1+%2B+2000%2Ae%5E%28-4%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%284%29+=+200000%2F%28+1+%2B+2000%2A.0183156+%29+ ALIGN=MIDDLE  ALT=\"+f%284%29+=+200000%2F%28+1+%2B+2000%2A.0183156+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%284%29+=+200000%2F37.631278+ ALIGN=MIDDLE  ALT=\"+f%284%29+=+200000%2F37.631278+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%284%29+=+5314.72+ ALIGN=MIDDLE  ALT=\"+f%284%29+=+5314.72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5,315 people were ill by the end of the 4th week<BR>\n" );
document.write( "(c)<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > approach infinity<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5E%28-t%29+ ALIGN=MIDDLE  ALT=\"+e%5E%28-t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will approach zero, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28inf%29+=+200000%2F%28+1+%2B+0+%29+ ALIGN=MIDDLE  ALT=\"+f%28inf%29+=+200000%2F%28+1+%2B+0+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28inf%29+=+200000+ ALIGN=MIDDLE  ALT=\"+f%28inf%29+=+200000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The limit is that all of them become ill<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Get another opinion, too, if you can\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );