document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32853>Question 32853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am struggling with this problem and don't know what it means or how to solve. Can anyone help me?\r<BR>\n" );
document.write( "\n" );
document.write( "Find the constant of variation k.<BR>\n" );
document.write( "	 m varies directly with n; m = 144 when n = 8  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19269 by </B><A HREF=/tutors/aboutme.mpl?userid=sarah_adam><B>sarah_adam(201)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sarah_adam><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=19269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, we set up our general equation. Because y is directly proportional to x, we have: y = cx <BR>\n" );
document.write( "where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down. <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "Here m varies directly with n and K = constant of proportionality\r<BR>\n" );
document.write( "\n" );
document.write( "so the equation will be m = nk\r<BR>\n" );
document.write( "\n" );
document.write( "here the values are m = 144 and n = 8\r<BR>\n" );
document.write( "\n" );
document.write( "so simply substitute those values in the equation to get the value of k\r<BR>\n" );
document.write( "\n" );
document.write( "144 = (8)* k<BR>\n" );
document.write( "therefore k = 144/8 = 18\r<BR>\n" );
document.write( "\n" );
document.write( "k = 18<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );