document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66413>Question 66413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Business and finance. In planning for a new item, a manufacturer assumes that<BR>\n" );
document.write( "the number of items produced x and the cost in dollars C of producing these items<BR>\n" );
document.write( "are related by a linear equation. Projections are that 100 items will cost $10,000 to<BR>\n" );
document.write( "produce and that 300 items will cost $22,000 to produce. Find the equation that<BR>\n" );
document.write( "relates C and x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47122 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Business and finance. In planning for a new item, a manufacturer assumes that<BR>\n" );
document.write( "the number of items produced x and the cost in dollars C of producing these<BR>\n" );
document.write( " 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. <BR>\n" );
document.write( "Find the equation that relates C and x.<BR>\n" );
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document.write( "Let's do the problem using the variables x & y: Cost=y<BR>\n" );
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document.write( "Find the slope: m = (y2-y1)/(x2-x1)<BR>\n" );
document.write( "In our problem x1 = 100, y1 = 10000; x2 = 300, y2 = 22000<BR>\n" );
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document.write( "Find the slope (m)<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2822000-10000%29%29%2F%28%28300-100%29%29 ALIGN=MIDDLE  ALT=\"%28%2822000-10000%29%29%2F%28%28300-100%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12000%2F200 ALIGN=MIDDLE  ALT=\"12000%2F200\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 60 is the slope<BR>\n" );
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document.write( "Now use the point/slope equation: y - y1 = m(x - x1)<BR>\n" );
document.write( "y - 10000 = 60(x - 100)<BR>\n" );
document.write( "y - 10000 = 60x - 6000<BR>\n" );
document.write( "y = 60x - 6000 + 10000<BR>\n" );
document.write( "y = 60x + 4000<BR>\n" );
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document.write( "Substituting \"Cost\" for y we have:<BR>\n" );
document.write( "Cost = 60x + 4000 </SPAN>\n" );
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