document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330755>Question 330755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given a starting population of 100 bacteria, the<BR>\n" );
document.write( "formula b = 100(2t ) can be used to find the number<BR>\n" );
document.write( "of bacteria, b, after t periods of time. If each period<BR>\n" );
document.write( "is 15 minutes long, how many minutes will it take<BR>\n" );
document.write( "for the population of bacteria to reach 51,200? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237114 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=237114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given a starting population of 100 bacteria, the<BR>\n" );
document.write( "formula b = 100(2^t ) can be used to find the number<BR>\n" );
document.write( "of bacteria, b, after t periods of time. If each period<BR>\n" );
document.write( "is 15 minutes long, how many minutes will it take<BR>\n" );
document.write( "for the population of bacteria to reach 51,200?<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Solve 51,200 = 100*2^(t/15)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2^(t/15) = 512<BR>\n" );
document.write( "Take the log to get:<BR>\n" );
document.write( "(t/15)*log(2) = log(512)<BR>\n" );
document.write( "t/15 = 9<BR>\n" );
document.write( "time = 15*9 = 2 hrs and 15 minutes<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );