document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040797>Question 1040797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What does each number represent in this equation?<BR>\n" );
document.write( "R = 1200 + 250 sin 1/2&#960;t\r<BR>\n" );
document.write( "\n" );
document.write( "I understand R is the number of rabbits ( 1200 ) I think 250 is the number of coyotes. \r<BR>\n" );
document.write( "\n" );
document.write( "What does sin 1/2&#960;t represent?\r<BR>\n" );
document.write( "\n" );
document.write( "Image of reference: https://i.imgsafe.org/584044b530.png </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655755 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The 1200 represents the baseline population of the rabbits.  The maximum number of rabbits is 1200 + 250 and the minimum number of rabbits is 1200 - 250.  The number of coyotes is not a factor in the function.  The basic sine function has a periodicity of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2\pi\">, but the periodicity of the Rabbit population variation is 4 years.  So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{2}\pi\"> multiplied times the number of years converts the 4 year periodicity of the real world situation to the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2\pi\"> periodicity that the sine function understands.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );