document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194842>Question 194842</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> express the problem as an exponential function whose value is the number of cells after x divisions, and then use the function to determine the answer.\r<BR>\n" );
document.write( "\n" );
document.write( "A cell divides into two identical copies every 4 minutes.  How many cells will exist after 5 hours?   Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146187 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=146187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make a chart:<BR>\n" );
document.write( "# of divisions --- # of copies ------- # of minutes<BR>\n" );
document.write( "--- 0 ---------------- 1 ------------------- 0 <BR>\n" );
document.write( "--- 1 ---------------- 2 ------------------- 4<BR>\n" );
document.write( "--- 2 ---------------- 2+4= 6 -------------- 8<BR>\n" );
document.write( "--- 3 ---------------- 2+4+12= 18 ---------- 12<BR>\n" );
document.write( "--- 4 ---------------- 2+4+12+36= 54 ------- 16<BR>\n" );
document.write( "--- 5 ---------------- 2+4+12+36+108= 162 -- 20<BR>\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "I think I have a formula that works.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the number of divisions,<BR>\n" );
document.write( "then the number of copies of cells<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%5E%28x-1%29 ALIGN=MIDDLE  ALT=\"2%2A3%5E%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%5E%281-1%29+=+2 ALIGN=MIDDLE  ALT=\"2%2A3%5E%281-1%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=2%2A3%5E%282-1%29+=+6 ALIGN=MIDDLE  ALT=\"2%2A3%5E%282-1%29+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%5E%283-1%29+=+18 ALIGN=MIDDLE  ALT=\"2%2A3%5E%283-1%29+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%5E%284-1%29+=+54 ALIGN=MIDDLE  ALT=\"2%2A3%5E%284-1%29+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%5E%285-1%29+=+162 ALIGN=MIDDLE  ALT=\"2%2A3%5E%285-1%29+=+162\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "How many cells will exist after 5 hours?<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the number of copies after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A60+=+300 ALIGN=MIDDLE  ALT=\"5%2A60+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" > min in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F4+=+75 ALIGN=MIDDLE  ALT=\"300%2F4+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "75 times in 3 hrs divisions will occur<BR>\n" );
document.write( "This method deals with all but the very 1st cell.<BR>\n" );
document.write( "I can correct for that by adding in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex ALIGN=MIDDLE  ALT=\"2%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2875%29+=+2%2A3%5E%2875-1%29+%2B+2%5E75 ALIGN=MIDDLE  ALT=\"C%2875%29+=+2%2A3%5E%2875-1%29+%2B+2%5E75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2875%29+=+2%2A3%5E74+%2B+2%5E75 ALIGN=MIDDLE  ALT=\"C%2875%29+=+2%2A3%5E74+%2B+2%5E75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2875%29+=+405.511%2A10%5E33+%2B+37.779%2A10%5E21 ALIGN=MIDDLE  ALT=\"C%2875%29+=+405.511%2A10%5E33+%2B+37.779%2A10%5E21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2875%29+=+10%5E21%2A%28405.511%2A10%5E12+%2B+37.779%29 ALIGN=MIDDLE  ALT=\"C%2875%29+=+10%5E21%2A%28405.511%2A10%5E12+%2B+37.779%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The approximate answer is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2875%29+=+4.055%2A10%5E35 ALIGN=MIDDLE  ALT=\"C%2875%29+=+4.055%2A10%5E35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and hopefully it's right </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );