document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190>Question 190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We're trying to solve the following linear function:<BR>\n" );
document.write( "The price P of a soft drink is a linear function of the volune v of the cup.  A 10-ounce drink sells for 50 cents and a 16-ounce drink sells for 68 cents.  Write P as a linear function of v.  What should the price be for a 20-ounce drink.  Can you PLEASE help me solve this problem - I am at a complete loss.  Thanks!\r<BR>\n" );
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document.write( "Beth </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147 by </B><A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><B>AnlytcPhil(1806)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><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=AnlytcPhil><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face = \"courier new\"><font size = 2><BR>\n" );
document.write( "We're trying to solve the following linear function: The price P of a soft drink<BR>\n" );
document.write( "is a linear function of the volune v of the cup. A 10-ounce drink sells for 50<BR>\n" );
document.write( "cents and a 16-ounce drink sells for 68 cents. Write P as a linear function of v.<< <BR>\n" );
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document.write( "When v = 10, P = 50<BR>\n" );
document.write( "When v = 16, P = 68<BR>\n" );
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document.write( "So the problem becomes<BR>\n" );
document.write( "\"Find the equation of a line which passes through the two points<BR>\n" );
document.write( "(10,50) and (16,68)<BR>\n" );
document.write( "` ` ` ` `y<sub>2</sub> - y<sub>1</sub><BR>\n" );
document.write( "Use m = ---------, with (x<sub>1</sub>,y<sub>1</sub>) = (10,50) and (x<sub>2</sub>,y<sub>2</sub>) = (16,68)<BR>\n" );
document.write( "` ` ` ` `x<sub>2</sub> - x<sub>1</sub><BR>\n" );
document.write( "`<BR>\n" );
document.write( "` ` ` ` ` 68-50 ` ` 18<BR>\n" );
document.write( "` ` m = `------- = ---- = 3<BR>\n" );
document.write( "` ` ` ` ` 16-10 ` ` `6<BR>\n" );
document.write( "` <BR>\n" );
document.write( "Now use y - y<sub>1</sub> = m(x - x<sub>1</sub>)<BR>\n" );
document.write( "` ` ` ` y - 50 = 3(x - 10)<BR>\n" );
document.write( "` ` ` ` y - 50 = 3x - 30<BR>\n" );
document.write( "` ` ` ` ` ` `y = 3x + 20<BR>\n" );
document.write( "Now change x to v and y to P or P(v)<BR>\n" );
document.write( "` ` ` ` ` ` `P = 3v + 20 <BR>\n" );
document.write( "or ` ` ` `P(v) = 3v + 20,<BR>\n" );
document.write( "`<BR>\n" );
document.write( "whichever form your teacher prefers. <BR>\n" );
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document.write( ">>What should the price be for a 20-ounce drink.<<<BR>\n" );
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document.write( "Substitute 20 for v:<BR>\n" );
document.write( "` ` ` ` ` ` `P = 3v + 20 = 3(20) + 20 = 60 + 20 = 80 cents.<BR>\n" );
document.write( "Edwin <BR>\n" );
document.write( "  </SPAN>\n" );
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