document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010625>Question 1010625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cesium-142 has a half life of 50 years. If there are 20 grams now:<BR>\n" );
document.write( "a. Fill in the equation y=ab^x<BR>\n" );
document.write( "b. Find the growth factor (b) for this exponential function </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626071 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=626071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have only one datum point in the half-life information, and then a value for making a question.  Why not the basic exponential decay equation like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=pe%5E%28-kt%29 ALIGN=MIDDLE  ALT=\"y=pe%5E%28-kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Try your simpler format anyway.<BR>\n" );
document.write( "Half-life information would seem to make  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29=1%2Ab%5E50 ALIGN=MIDDLE  ALT=\"%281%2F2%29=1%2Ab%5E50\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using a for the initial quantity of Cs-142.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E50=1%2F2 ALIGN=MIDDLE  ALT=\"b%5E50=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28b%5E50%29%29=log%2810%2C%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28b%5E50%29%29=log%2810%2C%281%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2Alog%2810%2Cb%29=log%2810%2C%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"50%2Alog%2810%2Cb%29=log%2810%2C%281%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Cb%29=%281%2F50%29log%2810%2C%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2Cb%29=%281%2F50%29log%2810%2C%281%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Cb%29=-0.0060206 ALIGN=MIDDLE  ALT=\"log%2810%2Cb%29=-0.0060206\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=0.986%29 ALIGN=MIDDLE  ALT=\"highlight%28b=0.986%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The model being  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=a%280.986%29%5Ex%29 ALIGN=MIDDLE  ALT=\"highlight%28y=a%280.986%29%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using a as the initial quantity.<BR>\n" );
document.write( "This b value is not a growth factor!!  The \"growth\" is negative, not positive.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Having \"twenty grams now\", you can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=20%280.985%29%5Ex ALIGN=MIDDLE  ALT=\"y=20%280.985%29%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );