document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049142>Question 1049142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having trouble breaking down this word problem.\r<BR>\n" );
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document.write( "Problem- A new temperature scale has been introduced called Sandstrum and denoted by S. Here are two comparisons to the Celsius scale. Water freezes at 0 degrees Celsius= -125 degrees S and water boils at 100 degrees Celsius=-50 degrees S.\r<BR>\n" );
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document.write( "A.)Find an equation for the line that captures the relationship. Let C be the independent (x) variable. Leave non-whole numbers fractions.\r<BR>\n" );
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document.write( "B.) What is the temperature (to the nearest degree in Sandstrum (S) when it is 72 degrees Celsius. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664702 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=664702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> basically, you are creating a straight line equation where the independent variable is c and the dependent variable is s.\r<BR>\n" );
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document.write( "s represents the temperature in sandstrum.<BR>\n" );
document.write( "c represents the temperature in celsius.\r<BR>\n" );
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document.write( "you have 2 points of reference.\r<BR>\n" );
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document.write( "they are the freezing point of water and the boiling point of water.\r<BR>\n" );
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document.write( "when water freezes, the temperature is 0 degrees in celsius and -125 degrees in sandstrum.\r<BR>\n" );
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document.write( "when water boils, the temperature is 100 degrees in celsius and -50 degrees in sandstrum.\r<BR>\n" );
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document.write( "you have two coordinate points of reference.\r<BR>\n" );
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document.write( "(c1,s1) = (0,-125)<BR>\n" );
document.write( "(c2,s2) = (100,-50)\r<BR>\n" );
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document.write( "the slope intercept form of a straight line equation is y = mx + b.<BR>\n" );
document.write( "m is the slope.<BR>\n" );
document.write( "b is the y-intercept.\r<BR>\n" );
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document.write( "the slope is equal to (y2-y1) / (x2-x1).<BR>\n" );
document.write( "the y-intercept is the value of y when x is equal to 0.\r<BR>\n" );
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document.write( "if you replace y with s and x with c, your straight line equation becomes:\r<BR>\n" );
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document.write( "s = mc + b<BR>\n" );
document.write( "m is the slope.<BR>\n" );
document.write( "b is the s-intercept\r<BR>\n" );
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document.write( "the slope is equal to (s2-s1) / (c2-c1).<BR>\n" );
document.write( "the s-intercept is the value of s when c is equal to 0.\r<BR>\n" );
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document.write( "it's the same equation as y = mx + b with only the names of the variables changed, where s is used in place of y and c is used in place of x.\r<BR>\n" );
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document.write( "your two points of reference are:\r<BR>\n" );
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document.write( "(c1,s1) = (0,-125)<BR>\n" );
document.write( "(c2,s2) = (100,-50)\r<BR>\n" );
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document.write( "your s-intercept is the value of s when c is equal to 0.<BR>\n" );
document.write( "that makes your s-intercept equal to -125.<BR>\n" );
document.write( "that makes b = -125.\r<BR>\n" );
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document.write( "your slope is equal to (s2-s1) / (c2-c1) = (-50 - (-125)) / (100 - 0).<BR>\n" );
document.write( "simplify that and your slope is equal to 75/100.<BR>\n" );
document.write( "this can be simplified to 3/4.\r<BR>\n" );
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document.write( "your straight line equation of s = mx + b becomes s = 3/4 * c - 125.\r<BR>\n" );
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document.write( "when c is equal to 0, s is equal to -125.<BR>\n" );
document.write( "this agrees with the freezing point of water expressed in sandstrum.\r<BR>\n" );
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document.write( "when c is equal to 100, s is equal to -50.<BR>\n" );
document.write( "this agrees with the boiling point of water expressed in sandstrum.\r<BR>\n" );
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document.write( "part A solution is therefore s = 3/4 * c - 125.\r<BR>\n" );
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document.write( "when c = 72, s = 3/4 * 72 - 125 which becomes s = -71.\r<BR>\n" );
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document.write( "that's your part B solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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