document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92091>Question 92091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me solve this word problem. <BR>\n" );
document.write( "In planning for a new item, a manufactures assumes that the number of items produced x and the cost of dollars C of producting 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. Find equation that relates to C and x.\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66954 by </B><A HREF=/tutors/aboutme.mpl?userid=mathispowerful><B>mathispowerful(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathispowerful><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=66954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  \r<BR>\n" );
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document.write( "Assume the linear equation is\r<BR>\n" );
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document.write( "c = ax +b\r<BR>\n" );
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document.write( "then using given information we get\r<BR>\n" );
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document.write( "10000 = 100a + b<BR>\n" );
document.write( "22000 = 300a + b\r<BR>\n" );
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document.write( "solve this system:\r<BR>\n" );
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document.write( "using second equation minus the first one: 200a = 12000\r<BR>\n" );
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document.write( "so a = 60\r<BR>\n" );
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document.write( "From the first equation: b = 10000-100a\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+10000-100%2Aa ALIGN=MIDDLE  ALT=\"b+=+10000-100%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10000 - 6000 = 4000\r<BR>\n" );
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document.write( "so we know a=60, b = 4000\r<BR>\n" );
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document.write( "the linear equation is \r<BR>\n" );
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document.write( "c = 60x + 4000 </SPAN>\n" );
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