document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99226>Question 99226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me please!\r<BR>\n" );
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document.write( "In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the eqaution that relates C and x. \r<BR>\n" );
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document.write( "Thanks, </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72212 by </B><A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><B>aaaaaaaa(138)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><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=72212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the equation that determines C is a linear equation, it is of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+ax+%2B+b ALIGN=MIDDLE  ALT=\"C+=+ax+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We have that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10000+=+100a+%2B+b ALIGN=MIDDLE  ALT=\"10000+=+100a+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22000+=+300a+%2B+b ALIGN=MIDDLE  ALT=\"22000+=+300a+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now it's a simple matter of solving the system. It's pretty easy by elimination:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10000+-+22000+=+100a+-+300a+%2B+b+-+b ALIGN=MIDDLE  ALT=\"10000+-+22000+=+100a+-+300a+%2B+b+-+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12000+=+-200a ALIGN=MIDDLE  ALT=\"-12000+=+-200a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+60 ALIGN=MIDDLE  ALT=\"a+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10000+=+6000+%2B+b ALIGN=MIDDLE  ALT=\"10000+=+6000+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+4000 ALIGN=MIDDLE  ALT=\"b+=+4000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The resulting equation is, therefore:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+60x+%2B+4000 ALIGN=MIDDLE  ALT=\"C+=+60x+%2B+4000\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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