document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56781>Question 56781</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me on this problem?\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 equation that relates C and x.\r<BR>\n" );
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document.write( "  Thanks,<BR>\n" );
document.write( "  Sher </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38525 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=38525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi Sher,<BR>\n" );
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 equation that relates C and x.\r<BR>\n" );
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document.write( "Let (x1,C1)=(100,10000)  Notice, I'm letting C=y and using the formulas that you've already used.<BR>\n" );
document.write( "Let (x2,C2)=(300,22000)<BR>\n" );
document.write( "Find their rate, or slope using: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28C2-C1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m=%28C2-C1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%2822000-10000%29%2F%28300-100%29 ALIGN=MIDDLE  ALT=\"m=%2822000-10000%29%2F%28300-100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=12000%2F200 ALIGN=MIDDLE  ALT=\"m=12000%2F200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=60 ALIGN=MIDDLE  ALT=\"m=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the point slope formula<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C-C1=m%28x-x1%29 ALIGN=MIDDLE  ALT=\"C-C1=m%28x-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C-10000=60%28x-100%29 ALIGN=MIDDLE  ALT=\"C-10000=60%28x-100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C-10000=60x-6000 ALIGN=MIDDLE  ALT=\"C-10000=60x-6000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C-10000%2B10000=60x-6000%2B10000 ALIGN=MIDDLE  ALT=\"C-10000%2B10000=60x-6000%2B10000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=60x%2B4000 ALIGN=MIDDLE  ALT=\"C=60x%2B4000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Another way to write this is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%29=60x%2B4000 ALIGN=MIDDLE  ALT=\"C%28x%29=60x%2B4000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating, Sher!!! </SPAN>\n" );
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