document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192180>Question 192180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having issues figuring out the inverse variation.  Here is the problem\r<BR>\n" );
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document.write( " Suppose z varies inversely with t and that z=12 and t=10.  What is the value of z when t = 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144215 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=144215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"z varies inversely with t\" in English means that as \"t\" increases, \"z\" decreases. On the flip side, as \"t\" decreases, \"z\" increases. So as one goes up, the other goes down (and vice versa)\r<BR>\n" );
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document.write( "So algebraically, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=k%2Ft ALIGN=MIDDLE  ALT=\"z=k%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > where \"k\" is some unknown constant. The goal is to find \"k\"\r<BR>\n" );
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document.write( "Since we're given that \"z=12 and t=10\", this means that we can plug them into the equation above to find \"k\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=k%2Ft ALIGN=MIDDLE  ALT=\"z=k%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=k%2F10 ALIGN=MIDDLE  ALT=\"12=k%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in z=12 and t=10\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A10=k ALIGN=MIDDLE  ALT=\"12%2A10=k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 10 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=k ALIGN=MIDDLE  ALT=\"120=k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So the constant \"k\" is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=120 ALIGN=MIDDLE  ALT=\"k=120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means that our original equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=120%2Ft ALIGN=MIDDLE  ALT=\"z=120%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Q: \"What is the value of z when t = 6?\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=120%2Ft ALIGN=MIDDLE  ALT=\"z=120%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the last equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=120%2F6 ALIGN=MIDDLE  ALT=\"z=120%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in t = 6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=20 ALIGN=MIDDLE  ALT=\"z=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So z = 20 when t = 6 </SPAN>\n" );
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