document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182903>Question 1182903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If y is directly proportional to the 3/2 power of x and inversely proportional to w, and y is 290 when x is 861 and w is 352, evaluate the constant of proportionality, and write the complete equation for y in terms of x and w. Give your answer in the form y=k*(x^a)*(w^b) with no spaces where a, b and k are real numbers. Round the coefficient k to 2 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813018 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If y is directly proportional to the 3/2 power of x and inversely proportional to w,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28kx%5E%283%2F2%29%29%2Fw ALIGN=MIDDLE  ALT=\"y+=+%28kx%5E%283%2F2%29%29%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" > that's ^(3/2)\r<BR>\n" );
document.write( "\n" );
document.write( "y is 290 when x is 861 and w is 352, evaluate the constant of proportionality,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k%2A861%5E%283%2F2%29%29%2F352 ALIGN=MIDDLE  ALT=\"%28k%2A861%5E%283%2F2%29%29%2F352\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 290<BR>\n" );
document.write( "Multiply both sides by 352, find 861 to the 3/2 power<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25264.152k+=+102080 ALIGN=MIDDLE  ALT=\"25264.152k+=+102080\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+102080%2F25264.252 ALIGN=MIDDLE  ALT=\"k+=+102080%2F25264.252\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "k = 4.04<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write the complete equation for y in terms of x and w. Give your answer in the form y=k*(x^a)*(w^b) with no spaces where a, b and k are real numbers. Round the coefficient k to 2 decimal places.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%284.04%2Ax%5E%283%2F2%29%29%2Fw ALIGN=MIDDLE  ALT=\"y+=+%284.04%2Ax%5E%283%2F2%29%29%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4.04%2Ax%5E%283%2F2%29%2Aw%5E-1 ALIGN=MIDDLE  ALT=\"y+=+4.04%2Ax%5E%283%2F2%29%2Aw%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );