document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252214>Question 252214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y varies inversely as x. Write the appropriate inverse-variation equation, and find y for the given values of x.\r<BR>\n" );
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document.write( "y=14 when x=8; x=values:10, 15, and 20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184045 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=184045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since \"y varies inversely as x\", this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=k%2Fx ALIGN=MIDDLE  ALT=\"y=k%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Because \"y=14 when x=8\", this means that we can plug those values in to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14=k%2F8 ALIGN=MIDDLE  ALT=\"14=k%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Multiply both sides by 8 to isolate k to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=14%2A8=112 ALIGN=MIDDLE  ALT=\"k=14%2A8=112\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the constant k is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=112 ALIGN=MIDDLE  ALT=\"k=112\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the inverse-variation equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=112%2Fx ALIGN=MIDDLE  ALT=\"y=112%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To find the y values when x=10, 15, and 20, simply plug these values into 'x' of the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=112%2Fx ALIGN=MIDDLE  ALT=\"y=112%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify. \r<BR>\n" );
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document.write( "Ex: When x=10, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=112%2F10=56%2F5=11.2 ALIGN=MIDDLE  ALT=\"y=112%2F10=56%2F5=11.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10 ALIGN=MIDDLE  ALT=\"x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=11.2 ALIGN=MIDDLE  ALT=\"y=11.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll let you do the rest. </SPAN>\n" );
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