document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=718776>Question 718776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a bacteria culture doubles in size in 8 hours. how long will it tak for the size to triple?<BR>\n" );
document.write( "assume that the rate of increase of the culture is proportional to the size. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441087 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=441087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find k in the relationship, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=Pe%5E%28kt%29 ALIGN=MIDDLE  ALT=\"A=Pe%5E%28kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where t is time in hours, P is initial population, A is population at time t.  The 8 hour case gives you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2P=Pe%5E%28k%2A8%29 ALIGN=MIDDLE  ALT=\"2P=Pe%5E%28k%2A8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Next step, divide both sides by P. Next, take logarithms of both sides.  Maybe this will be enough for you to know how to finish. </SPAN>\n" );
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