document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174250>Question 1174250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A medical supply company found out that there is a demand on a new brand of alcohol in the market.There was demand for 500mL and 1L with the amount Php 80<BR>\n" );
document.write( "and Php130, respectively<BR>\n" );
document.write( "  A.What is the slope?<BR>\n" );
document.write( "  B.What is the linear function represent the given problem if x is the number of alcohol and y is the price of alcohol?<BR>\n" );
document.write( "  C.How much does 750mL cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850701 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1987)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's break down this problem step-by-step.\r<BR>\n" );
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document.write( "**Understanding the Data**\r<BR>\n" );
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document.write( "* We have two data points:<BR>\n" );
document.write( "    * (500 mL, Php 80)<BR>\n" );
document.write( "    * (1000 mL, Php 130)\r<BR>\n" );
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document.write( "**A. Finding the Slope**\r<BR>\n" );
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document.write( "* Let's use the slope formula: m = (y2 - y1) / (x2 - x1)<BR>\n" );
document.write( "    * Where:<BR>\n" );
document.write( "        * (x1, y1) = (500, 80)<BR>\n" );
document.write( "        * (x2, y2) = (1000, 130)\r<BR>\n" );
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document.write( "* Substitute the values:<BR>\n" );
document.write( "    * m = (130 - 80) / (1000 - 500)<BR>\n" );
document.write( "    * m = 50 / 500<BR>\n" );
document.write( "    * m = 1/10 or 0.1\r<BR>\n" );
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document.write( "* Therefore, the slope is 0.1 (Php per mL).\r<BR>\n" );
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document.write( "**B. Finding the Linear Function**\r<BR>\n" );
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document.write( "* We'll use the point-slope form of a linear equation: y - y1 = m(x - x1)<BR>\n" );
document.write( "    * Using the point (500, 80) and the slope m = 0.1:<BR>\n" );
document.write( "        * y - 80 = 0.1(x - 500)<BR>\n" );
document.write( "        * y - 80 = 0.1x - 50<BR>\n" );
document.write( "        * y = 0.1x - 50 + 80<BR>\n" );
document.write( "        * y = 0.1x + 30\r<BR>\n" );
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document.write( "* Therefore, the linear function is y = 0.1x + 30.\r<BR>\n" );
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document.write( "**C. Finding the Cost of 750 mL**\r<BR>\n" );
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document.write( "* Substitute x = 750 mL into the linear function:<BR>\n" );
document.write( "    * y = 0.1(750) + 30<BR>\n" );
document.write( "    * y = 75 + 30<BR>\n" );
document.write( "    * y = 105\r<BR>\n" );
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document.write( "* Therefore, 750 mL of alcohol will cost Php 105.<BR>\n" );
document.write( " </SPAN>\n" );
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