document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203589>Question 203589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need some help with solving this equation please:<BR>\n" );
document.write( "Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.75\r<BR>\n" );
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document.write( "If the monthly bill for 18 HCF is 29.84, what is the monthly bill for 14 HCF?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153707 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153707\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the bill is a linear function, when one variable increases, the other increases too, or, when one variable decreases, so does the other.\r<BR>\n" );
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document.write( "Additionally, the slope of the line, along with the y-intercept will remain constant. We will therefore get: 	\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%28c%29+=+1.75%28c%29+%2B+y%5Bi%5D ALIGN=MIDDLE  ALT=\"b%28c%29+=+1.75%28c%29+%2B+y%5Bi%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where the bill (b) will be determined by c (the household’s consumption), and where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bi%5D ALIGN=MIDDLE  ALT=\"y%5Bi%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the y-intercept. In order to determine the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bi%5D ALIGN=MIDDLE  ALT=\"y%5Bi%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > though, we will need to substitute the other values.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29.84+=+1.75%2818%29+%2B+y%5Bi%5D ALIGN=MIDDLE  ALT=\"29.84+=+1.75%2818%29+%2B+y%5Bi%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29.84+=+31.5+%2B+y%5Bi%5D ALIGN=MIDDLE  ALT=\"29.84+=+31.5+%2B+y%5Bi%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29.84+-+31.5+=+y%5Bi%5D ALIGN=MIDDLE  ALT=\"29.84+-+31.5+=+y%5Bi%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.66+=+y%5Bi%5D ALIGN=MIDDLE  ALT=\"-1.66+=+y%5Bi%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, our linear equation is: b(c) = 1.75(c) – 1.66\r<BR>\n" );
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document.write( "b(c)  =  1.75(14) – 1.66\r<BR>\n" );
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document.write( "b(c)  =  24.50 – 1.66\r<BR>\n" );
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document.write( "b(c)  =  22.84\r<BR>\n" );
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document.write( "The water bill, when consumption is 14 HCF is $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2822.84%29 ALIGN=MIDDLE  ALT=\"highlight_green%2822.84%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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