document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095107>Question 1095107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the flavor of gum you are chewing can have a rating from 0 to 1, where 0 = no flavor at all and 1 = the best possible flavor (that is, when you first start to chew it).\r<BR>\n" );
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document.write( "Now assume that the gum company announces in the advertising that the flavor has a half-life of 55 minutes.\r<BR>\n" );
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document.write( "If you have been chewing on this particular flavor of gum for a total of 115 minutes, what would be the fraction of the original flavor rating </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709654 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=709654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>This is exponential decay: whatever the starting value, the value is cut in half every 55 minutes.  Algebraically, <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%280.5%5En%29 ALIGN=MIDDLE  ALT=\"y+=+x%280.5%5En%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where n is the number of half-lives -- i.e., the number of 55-minute intervals.<br><BR>\n" );
document.write( "For 115 minutes of chewing, the number of half-lives is 115/55.  0.5^(115/55) is about 0.235.  So about 23.5% of the original flavor should still be there after 115 minutes. </SPAN>\n" );
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