document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102363>Question 102363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You run some water into a pitcher, then cool it down by adding ice cubes.<BR>\n" );
document.write( "You find that putting in 5 ice cubes cools the water down to 76°. Putting in<BR>\n" );
document.write( "15 ice cubes cools the water down to 48°. Assume that the temperature of<BR>\n" );
document.write( "the water varies linearly with the number of cubes you put in. \r<BR>\n" );
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document.write( "I found the equation. It is y=90-2.8x and the correlation coefficient is -1.\r<BR>\n" );
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document.write( "What temperature would the water cool to if 7 ice cubes were put in </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74414 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=74414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You run some water into a pitcher, then cool it down by adding ice cubes.<BR>\n" );
document.write( "You find that putting in 5 ice cubes cools the water down to 76°. Putting in<BR>\n" );
document.write( "15 ice cubes cools the water down to 48°. Assume that the temperature of<BR>\n" );
document.write( "the water varies linearly with the number of cubes you put in. <BR>\n" );
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document.write( "You have two points: (5,76) and (15,48)<BR>\n" );
document.write( "Equation is y = mx+b; You need to find m and b:<BR>\n" );
document.write( "m= [48-76]/[15-5) = -28/10 = -2.8<BR>\n" );
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document.write( "Use the point (15,48) to solve for \"b\":<BR>\n" );
document.write( "48 = -2.8*15 + b<BR>\n" );
document.write( "b = 48 + 42 = 90<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "temperature = -2.8*(# of cubes) + 90<BR>\n" );
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document.write( "What temperature would the water cool to if 7 ice cubes were put in<BR>\n" );
document.write( "temp(7) = -2.8*7 + 90<BR>\n" );
document.write( "temp(7) = 70.4 degrees<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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