document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=725935>Question 725935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have got NO idea where to start on this one: Any and all help is MUCHO appreciated, thanks!\r<BR>\n" );
document.write( "\n" );
document.write( "A manufacturing company finds that they can sell 275 items at $2.50 per item and 350 items at $2.00 per item. If the relationship between the number of items sold x and the price per item p is a linear one:\r<BR>\n" );
document.write( "\n" );
document.write( "Find a formula that gives x in terms of p: x=_______\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444425 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=444425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are used to writing y as a function of x.<BR>\n" );
document.write( "In this case, you need to write x as a (linear) function of p,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=mp%2Bb ALIGN=MIDDLE  ALT=\"x=mp%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > instead of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It is a linear function, so it graphs as a straight line.<BR>\n" );
document.write( "That line passes through the points<BR>\n" );
document.write( "(2.50,275), with coordinates p=2.50 and x=275, and<BR>\n" );
document.write( "(2.00,350), with coordinates p=2.00 and x=350<BR>\n" );
document.write( " <BR>\n" );
document.write( "To graph that line we have to change the labels on the axes to read p and x, instead of x and y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1%2C5%2C-100%2C900%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28circle%282%2C350%2C0.1%29%29%2C+blue%28circle%282.5%2C275%2C0.1%29%29%2C%0D%0Ablue%28line%280%2C650%2C13%2F3%2C0%29%29%2Clocate%280.15%2C880%2Cred%28x%29%29%2C%0D%0Alocate%284.5%2C-10%2Cred%28p%29%29%2Cred%28line%284.7%2C-40%2C5%2C-40%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "To write the equation we can find the slope of the line passing through points (2.50,275) and (2.00,350) :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28275-350%29%2F%282.5-2%29=-75%2F2.5=-150 ALIGN=MIDDLE  ALT=\"m=%28275-350%29%2F%282.5-2%29=-75%2F2.5=-150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "write the line in point slope form using point (2.350) as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-350=-150%28p-2%29 ALIGN=MIDDLE  ALT=\"x-350=-150%28p-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and do a little algebra to transform that into the slope-intercept form<BR>\n" );
document.write( "(or \"solve for x\").<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-350=-150%28p-2%29 ALIGN=MIDDLE  ALT=\"x-350=-150%28p-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-350=-150p%2B300%29 ALIGN=MIDDLE  ALT=\"x-350=-150p%2B300%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-150p%2B650%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-150p%2B650%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );