document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029066>Question 1029066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If each of them tells 1 person, and then everybody tells exactly 1 other person, and so on, how long will it take until all 450 students in the school hear the rumor? Assume that the rate for telling the next person is 1 hour. That is, initially Jack and Jill know; after 1 hour, 2 more people know; after 2 hours, 2 more people know </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644199 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total number of people after each hour is:<BR>\n" );
document.write( "(0) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E1+ ALIGN=MIDDLE  ALT=\"+2%5E1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E1+%2B+2%5E2+ ALIGN=MIDDLE  ALT=\"+2%5E1+%2B+2%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E1+%2B+2%5E2+%2B+2%5E3+ ALIGN=MIDDLE  ALT=\"+2%5E1+%2B+2%5E2+%2B+2%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E1+%2B+2%5E2+%2B+2%5E3+%2B+2%5E4+ ALIGN=MIDDLE  ALT=\"+2%5E1+%2B+2%5E2+%2B+2%5E3+%2B+2%5E4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "I notice that at hour number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "the total that hear rumor is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E%28+n+%2B+2+%29+-+2+ ALIGN=MIDDLE  ALT=\"+2%5E%28+n+%2B+2+%29+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+=+2%5E%28+n+%2B+2+%29+-+2+ ALIGN=MIDDLE  ALT=\"+450+=+2%5E%28+n+%2B+2+%29+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+452+=+2%5E%28+n+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+452+=+2%5E%28+n+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+452+=+2%5En%2A2%5E2+ ALIGN=MIDDLE  ALT=\"+452+=+2%5En%2A2%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+452+=+4%2A2%5En+ ALIGN=MIDDLE  ALT=\"+452+=+4%2A2%5En+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5En+=+113+ ALIGN=MIDDLE  ALT=\"+2%5En+=+113+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2Alog%282%29+=+log%28113%29+ ALIGN=MIDDLE  ALT=\"+n%2Alog%282%29+=+log%28113%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.30103n+=+2.05308+ ALIGN=MIDDLE  ALT=\"+.30103n+=+2.05308+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+6.8202+ ALIGN=MIDDLE  ALT=\"+n+=+6.8202+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.8202%2A60+=+49.21+ ALIGN=MIDDLE  ALT=\"+.8202%2A60+=+49.21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "All 450 students hear rumor after<BR>\n" );
document.write( "6 hrs and 49 min<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+=+2%5E%28+n+%2B+2+%29+-+2+ ALIGN=MIDDLE  ALT=\"+450+=+2%5E%28+n+%2B+2+%29+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+=+2%5E%28+6.8202+%2B+2+%29+-+2+ ALIGN=MIDDLE  ALT=\"+450+=+2%5E%28+6.8202+%2B+2+%29+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+=+2%5E8.8202+-+2+ ALIGN=MIDDLE  ALT=\"+450+=+2%5E8.8202+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+=+452.007+-+2+ ALIGN=MIDDLE  ALT=\"+450+=+452.007+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+=+450.007+ ALIGN=MIDDLE  ALT=\"+450+=+450.007+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "error due to rounding off<BR>\n" );
document.write( "You might want a 2nd opinion on this </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );