document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156640>Question 1156640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f varies jointly as q2 and h, and f=24 when q=2 and h=2, find f when q=3 and h=5<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779403 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=779403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I will guess that the \"q2\" in your question is \"q squared\"....<br><BR>\n" );
document.write( "We commonly use the \"^\" symbol (shift-6) to denote exponentiation.  So<br><BR>\n" );
document.write( "\"If f varies jointly as q^2 and h...\"<br><BR>\n" );
document.write( "Another tutor suggests using the given information to find the constant of variation to find an explicit formula.  That is a perfectly good method; and if you are working many problems with the same quantities, it is probably the best way.<br><BR>\n" );
document.write( "But for working a single problem, I prefer a different path to the answer.<br><BR>\n" );
document.write( "The value of f for the given inputs is 24.<BR>\n" );
document.write( "The value for q changes from 2 to 3; that is a factor of 3/2.  Since the variation is with q^2, this change in q changes the value of f by a factor of 9/4.<BR>\n" );
document.write( "The value of h changes from 2 to 5; a factor of 5/2.  This changes the value of f by a factor of 5/2.<br><BR>\n" );
document.write( "So....<BR>\n" );
document.write( "ANSWER: The new value of f is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%29%2A%289%2F4%29%2A%285%2F2%29+=+135 ALIGN=MIDDLE  ALT=\"%2824%29%2A%289%2F4%29%2A%285%2F2%29+=+135\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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