document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063818>Question 1063818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y varies directly as x and inversely as the square of z calculator. y = 32 when x = 114 and z = 6. find y when x = 3 and z = 6  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837957 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor goes to a lot of unnecessary work to get a decimal approximation of the answer.<br><BR>\n" );
document.write( "From the given set of data to the new one, the value of z does not change, so the only change in the value of y is due to the change in the value of x.<br><BR>\n" );
document.write( "y varies directly as x, so when the value of x changes by a factor of 3/114 = 1/38 the value of y changes by a factor of 1/38.<br><BR>\n" );
document.write( "ANSWER: 32(1/38) = 32/38 = 16/19<br><BR>\n" );
document.write( "Convert that to a decimal approximation if required or desired... but the answer in fraction form is exact.<br><BR>\n" );
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