document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205144>Question 1205144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bacteria culture is started with 100 bacteria. After 7 hours, the population has grown to 600 bacteria. If the population grows exponentially, find the rate of growth in percent </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841793 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Since the problem doesn't specify, I will assume that the percent growth PER HOUR is what the problem is asking for.<br><BR>\n" );
document.write( "In 7 hours the population increases by a factor of 600/100 = 6:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bx%29%5E7=6 ALIGN=MIDDLE  ALT=\"%281%2Bx%29%5E7=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bx=6%5E%281%2F7%29 ALIGN=MIDDLE  ALT=\"1%2Bx=6%5E%281%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.2917 to 4 decimal places<br><BR>\n" );
document.write( "x = 1.2917-1 = 0.2917<br><BR>\n" );
document.write( "ANSWER: growth rate per hour = 0.2917, or 29.17%<br><BR>\n" );
document.write( "-------------------------------------------------------------------<br><BR>\n" );
document.write( "NOTE: My solution and Edwin's solution are equivalent -- using different definitions of \"growth rate\":<br><BR>\n" );
document.write( "e^0.2559656385 = 1.291708342<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );