document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847275>Question 847275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Andrew measures the amount of a very unstable substance to be 100 moles. The half life of this substance is three days (after three days, half is gone). \r<BR>\n" );
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document.write( "#1 Write an exponential function that models this situation where y is the amount of substance and x is time in days.\r<BR>\n" );
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document.write( "#2 Use your equation to complete the chart. \r<BR>\n" );
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document.write( "Days                               <BR>\n" );
document.write( "-3(3 days prior)<BR>\n" );
document.write( "0<BR>\n" );
document.write( "3<BR>\n" );
document.write( "6<BR>\n" );
document.write( "12\r<BR>\n" );
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document.write( "Amount (I need to determine the amounts)\r<BR>\n" );
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document.write( "#3 Use your data from the chart to graph your equation. \r<BR>\n" );
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document.write( "#4 Calculate the expected amount of substance if Andrew had taken his measurement 9 days earlier. Show your calculations and consider the trend of your graph.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510311 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=510311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=100 ALIGN=MIDDLE  ALT=\"y=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=50 ALIGN=MIDDLE  ALT=\"y=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28t%29=ae%5E%28kx%29 ALIGN=MIDDLE  ALT=\"y%28t%29=ae%5E%28kx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%280%29=ae%5E%280%29=a=100 ALIGN=MIDDLE  ALT=\"y%280%29=ae%5E%280%29=a=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=100 ALIGN=MIDDLE  ALT=\"a=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%283%29=100e%5E%283k%29=50 ALIGN=MIDDLE  ALT=\"y%283%29=100e%5E%283k%29=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%283k%29=1%2F2 ALIGN=MIDDLE  ALT=\"e%5E%283k%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3k=ln%281%2F2%29 ALIGN=MIDDLE  ALT=\"3k=ln%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%281%2F3%29ln%281%2F2%29=-0.231 ALIGN=MIDDLE  ALT=\"k=%281%2F3%29ln%281%2F2%29=-0.231\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28x%29=100e%5E%28-0.231x%29 ALIGN=MIDDLE  ALT=\"y%28x%29=100e%5E%28-0.231x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-3%2C10%2C-10%2C150%2C100e%5E%28-0.231x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-3%2C10%2C-10%2C150%2C100e%5E%28-0.231x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );