document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037372>Question 1037372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The count of bacteria in a culture was 200 after 2 hours and 24,000 after 8 hours. What is the<BR>\n" );
document.write( "relative growth rate of the bacteria population, as a percentage?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653290 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=653290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28t%29+=+P%5B0%5D%2A%281%2Br%29%5Et ALIGN=MIDDLE  ALT=\"P%28t%29+=+P%5B0%5D%2A%281%2Br%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B0%5D ALIGN=MIDDLE  ALT=\"P%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the initial count, and r is the relative growth rate.\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29+=+200+=+P%5B0%5D%2A%281%2Br%29%5E2 ALIGN=MIDDLE  ALT=\"P%282%29+=+200+=+P%5B0%5D%2A%281%2Br%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%288%29+=+24000+=+P%5B0%5D%2A%281%2Br%29%5E8 ALIGN=MIDDLE  ALT=\"P%288%29+=+24000+=+P%5B0%5D%2A%281%2Br%29%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Dividing the second equation by the first equation (effectively canceling <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B0%5D ALIGN=MIDDLE  ALT=\"P%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >), we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120+=+%281%2Br%29%5E6 ALIGN=MIDDLE  ALT=\"120+=+%281%2Br%29%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+root%286%2C120%29+-+1+=+1.220906 ALIGN=MIDDLE  ALT=\"r+=+root%286%2C120%29+-+1+=+1.220906\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Therefore the relative growth rate r is 122.0906%.\r<BR>\n" );
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