document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034815>Question 1034815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On Monday, Lassister began monitoring the size of a bacteria colony. He noted that the mass of the colony grew from 5 grams at 8am to 6.5 grams at 2 PM. <BR>\n" );
document.write( "a) find the value for k and write an exponential growth function that estimates the mass M of the bacteria colony t hours after 8 AM Monday.<BR>\n" );
document.write( "b) What will the mass be at 6 PM Monday?<BR>\n" );
document.write( "c) To the nearest hour, at what time will the mass of the growing colony reach 15 grams?\r<BR>\n" );
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document.write( "please explain.<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 #688625 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=688625\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) find the value for k and write an exponential growth function that estimates the mass M of the bacteria colony t hours after 8 AM Monday.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=p%2Ae%5E%28kt%29 ALIGN=MIDDLE  ALT=\"M=p%2Ae%5E%28kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  p=5 grams, t is time in hours, k is a constant.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28M%29=ln%28p%29%2Bln%28e%5E%28kt%29%29 ALIGN=MIDDLE  ALT=\"ln%28M%29=ln%28p%29%2Bln%28e%5E%28kt%29%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=ln%28M%29=ln%28p%29%2Bkt%2A1 ALIGN=MIDDLE  ALT=\"ln%28M%29=ln%28p%29%2Bkt%2A1\"   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=kt%2Bln%28p%29=ln%28M%29 ALIGN=MIDDLE  ALT=\"kt%2Bln%28p%29=ln%28M%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=kt=ln%28M%29-ln%28p%29 ALIGN=MIDDLE  ALT=\"kt=ln%28M%29-ln%28p%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=highlight_green%28k=%28ln%28M%29-ln%28p%29%29%2Ft%29 ALIGN=MIDDLE  ALT=\"highlight_green%28k=%28ln%28M%29-ln%28p%29%29%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Given that M=6.5, p=5, t=6,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%281%2F6%29%28ln%286.5%29-ln%285%29%29 ALIGN=MIDDLE  ALT=\"k=%281%2F6%29%28ln%286.5%29-ln%285%29%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=highlight%28k=0.0437%29 ALIGN=MIDDLE  ALT=\"highlight%28k=0.0437%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Growth model may be restated as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=5%2Ae%5E%280.0437t%29 ALIGN=MIDDLE  ALT=\"M=5%2Ae%5E%280.0437t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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