document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58146>Question 58146</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help in finding the equation that relates C AND X FROM THIS PROBLEM 100 ITEMS WILL COST $10,000 TO PRODUCE AND 300 ITEMS WILL COST $22,000 TO PRODUCE  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39914 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=39914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the cost depends upon the number of items, let the cost equal the y value and number of items equal the x value:<BR>\n" );
document.write( "x=100<BR>\n" );
document.write( "y=$10,000<BR>\n" );
document.write( "(100; 10000)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x=300<BR>\n" );
document.write( "y=$22,000<BR>\n" );
document.write( "Point (300; 22000)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Find the slope of the line using the two points.<BR>\n" );
document.write( "m=(22,000-10,000)/(300-100)=12,000/200=60\r<BR>\n" );
document.write( "\n" );
document.write( "Find the equation of the line using one of the formulas for a line.<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "22,000=(60)(300)+b [Plug-in the values and solve for b]<BR>\n" );
document.write( "22,000=18000+b<BR>\n" );
document.write( "22,000-18,000=b<BR>\n" );
document.write( "4,000=b [Plug-in the slope and y-intercept value]<BR>\n" );
document.write( "y=60x+4,000<BR>\n" );
document.write( "C(x)=60x+4,000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );