document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714025>Question 714025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Supposed a colony of flies increases according to the law of exponential growth there where 540 flies ( 3 days ago) and 720 flies (1 day ago)\r<BR>\n" );
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document.write( "a. Solve for the growth rate<BR>\n" );
document.write( "b. Solve for the initial population<BR>\n" );
document.write( "c. Develop a mathematical model<BR>\n" );
document.write( "d. Use the model to predict the population of flies by tomorrow.\r<BR>\n" );
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document.write( "Thank you. I wish you can answer it faster.. :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438650 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=438650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> t=2 days, because the before and after values for population were measured for a two day time interval.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B0%5D=540 ALIGN=MIDDLE  ALT=\"A%5B0%5D=540\"   DISABLED_style= \"max-width:90%; height:auto;\" > and A=720, number of flies.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=720=540e%5E%28k%2A2%29 ALIGN=MIDDLE  ALT=\"720=540e%5E%28k%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, would be an expected equation but k needs to be calculated.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28720%29%2Fln%28540%29=2k%2Aln%28e%29 ALIGN=MIDDLE  ALT=\"ln%28720%29%2Fln%28540%29=2k%2Aln%28e%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=%28ln%28720%29%2Fln%28540%29%29%2F2=k ALIGN=MIDDLE  ALT=\"%28ln%28720%29%2Fln%28540%29%29%2F2=k\"   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=k=0.523 ALIGN=MIDDLE  ALT=\"k=0.523\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Model equation should be used as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A=A%5B0%5De%5E%280.523t%29%29 ALIGN=MIDDLE  ALT=\"highlight%28A=A%5B0%5De%5E%280.523t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "How many flies expected tomorrow?  One day ago, there were 720 flies.  Tomorrow, will be another t=2 change.  Use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=720%2Ae%5E%280.523%2A2%29 ALIGN=MIDDLE  ALT=\"A=720%2Ae%5E%280.523%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > flies, as a prediction. </SPAN>\n" );
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