document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41964>Question 41964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that y varies directly as x. If y =4 when x = 1/2, find y when x =2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27114 by </B><A HREF=/tutors/aboutme.mpl?userid=mbarugel><B>mbarugel(146)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mbarugel><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=27114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "If y varies directly as x, then when x is multiplied by a factor, y is multiplied by the same factor.\r<BR>\n" );
document.write( "\n" );
document.write( "Now, how many times is the increase in x from 1/2 to 2? This is calculated as:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%281%2F2%29+=+2%2A2+=+4 ALIGN=MIDDLE  ALT=\"2%2F%281%2F2%29+=+2%2A2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore, 2 is 4 times as much as 1/2.\r<BR>\n" );
document.write( "\n" );
document.write( "We conclude that, since y = 4 when x = 1/2; then, when x = 2 (4 times as much as 1/2), then y must be 4 times as much as its original value (4). Therefore, when x = 2, y = 4*4 = 16.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I hope this helps!<BR>\n" );
document.write( "Get more answers at <a  rel=nofollow HREF=http://www.onlinemathanswers.com>Online Math Answers.com</a>!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );