document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120936>Question 120936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month.  How many MP3 players can the company expect to sell per month at a price of $75?    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88729 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=88729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75? <BR>\n" );
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document.write( "You have two points : (100,6.7) and (80,10.2)<BR>\n" );
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document.write( "slope = (10.2-6.7)/(80-100) = 3.5/-20 = -7/40<BR>\n" );
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document.write( "equation form: # = (slope)*(price) + b<BR>\n" );
document.write( "Substitute to solve for \"b\":<BR>\n" );
document.write( "6.7 = (-7/40)*100 + b <BR>\n" );
document.write( "b = 24.20<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "Let price be \"x\"; Let # sold be \"y\"<BR>\n" );
document.write( "f(x) = (-7/40)x+24.20<BR>\n" );
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document.write( "f(75) = (-7/40)*75+24.2<BR>\n" );
document.write( "f(75) = 11.0750 million<BR>\n" );
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document.write( "Conclusion: When the price is $75 the # sold is 11.075 million<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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