document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172531>Question 172531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would appreciate any help on the below question. I came up with P = -x + 62. I am not sure if this is correct or if it should be P = -x + 104.\r<BR>\n" );
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document.write( "1.	In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research). \r<BR>\n" );
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document.write( "a.	Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127399 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=127399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So you need to write the equation: p = mx+b.<BR>\n" );
document.write( "Research has found the when p = $20, then x = 42 and when p = $10 then p = 52, so you have two points ((42, 20) and (52, 10)) that can be used to define the curve (line) and can also be used to generate the equation.<BR>\n" );
document.write( "First, find the slope of the line using the two given points where x is the independent variable and p is the dependent variable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28p%5B2%5D-p%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m+=+%28p%5B2%5D-p%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the given points (42, 20) and (52, 10), make the appropriate substitutions to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%2810-20%29%2F%2852-42%29 ALIGN=MIDDLE  ALT=\"m+=+%2810-20%29%2F%2852-42%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+=+-10%2F10 ALIGN=MIDDLE  ALT=\"m+=+-10%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-1 ALIGN=MIDDLE  ALT=\"m+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So you now can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+-x%2Bb ALIGN=MIDDLE  ALT=\"p+=+-x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > To find the value of b, substitute the x- and p-coordinates from either one of the two given points.  Let's use (42, 20)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20+=+-42%2Bb ALIGN=MIDDLE  ALT=\"20+=+-42%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solving for b, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+62 ALIGN=MIDDLE  ALT=\"b+=+62\"   DISABLED_style= \"max-width:90%; height:auto;\" > so now you can write the final equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p+=+-x%2B62%29 ALIGN=MIDDLE  ALT=\"highlight%28p+=+-x%2B62%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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