document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=753778>Question 753778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y varies directly as x and inversely as the square of z. y= 38 when x=32 and z=4. Find y when x=75 and z=5.<BR>\n" );
document.write( "y=___ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458644 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=458644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y varies directly as x and inversely as the <BR>\n" );
document.write( "square of z<BR>\n" );
document.write( "y = kx/z^2<BR>\n" );
document.write( "(k is the constant of proportionality)<BR>\n" );
document.write( "Using the given values find out k's value\r<BR>\n" );
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document.write( "y = kx/z^2<BR>\n" );
document.write( "38 = k *32/ 4^2<BR>\n" );
document.write( "38 = 32k/16<BR>\n" );
document.write( "38 = 2k<BR>\n" );
document.write( "k = 19<BR>\n" );
document.write( "Put back in formula\r<BR>\n" );
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document.write( "y = 19x/z^2\r<BR>\n" );
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document.write( "y = 19*75/5^2<BR>\n" );
document.write( "y = 1425/25<BR>\n" );
document.write( "y = 57<BR>\n" );
document.write( "Hope this helps<BR>\n" );
document.write( ":-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );