document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089550>Question 1089550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The logistic growth function f(t) =53,000/1+1059.0e^-1.5t<BR>\n" );
document.write( "models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. What is the limiting size of the population that becomes ill?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703905 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=703905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe the formula is:\r<BR>\n" );
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document.write( "f(T) = 53000 / (1 + 1059 * e ^ (-1.5 * T))\r<BR>\n" );
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document.write( "the parentheses are necessary to ensure a correct interpretation of the problem.\r<BR>\n" );
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document.write( "if i understood the formula correctly, then e^(-1.5 * T) is the same as 1 / e^(1.5 * T) and the formula would look like this:\r<BR>\n" );
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document.write( "f(T) = 53000 / (1 + 1059 / (e ^ (1.5 * T))\r<BR>\n" );
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document.write( "as T approaches infinity, then 1059 / (e ^ (1.5 * T)) approaches 0 and the formula becomes:\r<BR>\n" );
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document.write( "f(T) = 53000 / 1 which is equal to 53000.\r<BR>\n" );
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document.write( "therefore, the limiting size of the population that becomes ill is 53000.\r<BR>\n" );
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document.write( "i checked this out graphically and determined that it is correct.\r<BR>\n" );
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document.write( "T represents the number of weeks since the onset.\r<BR>\n" );
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document.write( "in the graph, y represents f(T) and x represents T.\r<BR>\n" );
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document.write( "the graph looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/080301.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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