document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188108>Question 188108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose x and y vary inversely, and x = 5 when y = 1.6\r<BR>\n" );
document.write( "\n" );
document.write( "1.   Write a function that models the inverse variation.<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "2.   Find y when x = 32. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140980 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=140980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if x varies inversely with y then<BR>\n" );
document.write( ":<BR>\n" );
document.write( "xy=k where k is the constant of variation<BR>\n" );
document.write( ":<BR>\n" );
document.write( "in this case: 5(1.6)=k---->k=8....so our equation is of the form<BR>\n" );
document.write( ":<BR>\n" );
document.write( "xy=8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "when x=32-----> x(32)=8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x=8/32=1/4 or .25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "in an inverse relationship when one variable increases the other decreases and vice versa.......so y increased from 1.6 to 32 and x decreased from 5 to .25 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );