document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137047>Question 1137047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I express a rational function that describes the following situation?\r<BR>\n" );
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document.write( "A large mixing tank currently contains 200 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pouring 10 gallons of water per minute into the tank at the same time sugar is poured into the tank at a rate of 3 pounds per minute. How do I find the concentration (pounds per gallon) of sugar in the tank afer t minutes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754887 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=754887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the number of minutes since the tap opened. \r<BR>\n" );
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document.write( "given:mixing tank currently contains <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200 ALIGN=MIDDLE  ALT=\"200\"   DISABLED_style= \"max-width:90%; height:auto;\" > gallons of water\r<BR>\n" );
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document.write( "since the water increases at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > gallons per minute, and the sugar increases at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+ ALIGN=MIDDLE  ALT=\"3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >pound per minute, these are constant rates of change. \r<BR>\n" );
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document.write( "this tells us the amount of water in the tank is changing linearly, as is the amount of sugar in the tank. We can write an equation independently for each:\r<BR>\n" );
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document.write( "water: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%28t%29=200%2B10t+ ALIGN=MIDDLE  ALT=\"W%28t%29=200%2B10t+\"   DISABLED_style= \"max-width:90%; height:auto;\" >in gallons <BR>\n" );
document.write( "sugar: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%28t%29=10%2B3t ALIGN=MIDDLE  ALT=\"S%28t%29=10%2B3t\"   DISABLED_style= \"max-width:90%; height:auto;\" > in pounds\r<BR>\n" );
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document.write( "The concentration, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" >, will be the ratio of pounds of sugar to gallons of water:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28t%29=%2810%2B3t%29%2F%28200%2B10t%29 ALIGN=MIDDLE  ALT=\"C%28t%29=%2810%2B3t%29%2F%28200%2B10t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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