document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714024>Question 714024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! <BR>\n" );
document.write( "Supposed a colony of flies increases according to the law of exponential growth there where 540 flies ( 3 days ago) and 720 flies one 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 i can get the answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438895 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=438895\">put this solution on YOUR website!</A><BR><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 one day ago. <BR>\n" );
document.write( "a) Solve for the growth rate.<BR>\n" );
document.write( "n(t) = ab^t<BR>\n" );
document.write( "----<BR>\n" );
document.write( "540 = ab^-3<BR>\n" );
document.write( "720 = ab^-1<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Divide to solve for \"b\":<BR>\n" );
document.write( "4/3 = b^2<BR>\n" );
document.write( "b = 2/sqrt(3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"a\":<BR>\n" );
document.write( "720 = a(sqrt(3)/2]<BR>\n" );
document.write( "a = 1440/sqrt(3)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "n(t) = [1440/sqrt(3)][2/sqrt(3)^t\r<BR>\n" );
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document.write( "b) Solve for the initial population.<BR>\n" );
document.write( "n(0) = 1440/sqrt(3) = 831 when rounded down.<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "c) Develop a mathematical model.<BR>\n" );
document.write( "don above<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "d) use the model to predict the population of flies by tomorrow<BR>\n" );
document.write( "n(1) = [1440/sqrt(3)][2/sqrt(3)] = 2880/3 = 960<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============== <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );