document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216764>Question 216764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I guess that I need help with this one too!\r<BR>\n" );
document.write( "\n" );
document.write( "A bacteria population doubles every four minutes. If the population begins with one cell, how long will it take to grow to 1,024 cells?\r<BR>\n" );
document.write( "\n" );
document.write( "I know I need to use this formula A=Pe^rt or at least I think so. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163791 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bacteria population doubles every four minutes. If the population begins with one cell, how long will it take to grow to 1,024 cells? <BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "1024 is 2^10, so there must be 10 doublings.<BR>\n" );
document.write( "10*4 = 40 minutes.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Call 4 minutes the period:<BR>\n" );
document.write( "P  #<BR>\n" );
document.write( "----<BR>\n" );
document.write( "0  1<BR>\n" );
document.write( "1  2<BR>\n" );
document.write( "2  4<BR>\n" );
document.write( "3  8<BR>\n" );
document.write( "4  16<BR>\n" );
document.write( "5  32<BR>\n" );
document.write( "6  64<BR>\n" );
document.write( "7  128<BR>\n" );
document.write( "8  256<BR>\n" );
document.write( "9  512<BR>\n" );
document.write( "10 1024<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "1024 is commonly called 1K, as in computer memory (K is for kilo). <BR>\n" );
document.write( "1K = 1024 bits or bytes.<BR>\n" );
document.write( "1 Meg = 1,048,576 = 2^20<BR>\n" );
document.write( "1 Gig = 1,073,741,824 = 2^30<BR>\n" );
document.write( "1 Tera = a lot, I think it's 10^40<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Another approach to the problem (remember the problem?) is:<BR>\n" );
document.write( "log(1024)/log(2) = 10 = # of periods<BR>\n" );
document.write( "We divide by the log of 2 because in each period the # is multiplied by 2.  If the bacteria tripled each period, we would divide by log of 3, etc. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );