document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163295>Question 1163295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The amount of gas in a gas tank is a linear function based on the number of miles driven on the open highway.  Use the data in the following table to answer the questions:\r<BR>\n" );
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document.write( "Amount of gas (gallons)\r<BR>\n" );
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document.write( "18\r<BR>\n" );
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document.write( "12\r<BR>\n" );
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document.write( "8\r<BR>\n" );
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document.write( "Number of miles driven\r<BR>\n" );
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document.write( "90\r<BR>\n" );
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document.write( "360\r<BR>\n" );
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document.write( "540\r<BR>\n" );
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document.write( "a)  What is the slope of the function?  \r<BR>\n" );
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document.write( "b)  What is the y-intercept of the function?  \r<BR>\n" );
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document.write( "c)  Write an equation that could be used to model this linear function expressing miles driven, M(x), in terms of amount of gas, x, in the tank:   \r<BR>\n" );
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document.write( "d)  How many gallons of gas does the gas tank hold?  <BR>\n" );
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document.write( "     What does this represent in the function?  \r<BR>\n" );
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document.write( "e)  How many miles per gallon does this particular vehicle get on the open highway?  <BR>\n" );
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document.write( "     What does this represent in the function?  \r<BR>\n" );
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document.write( "f)  If you can drive 75 mph on the open highway, how long will it take before you run out of gas?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787350 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=787350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -----------------------------------------------------<BR>\n" );
document.write( "Amount of gas (gallons)<BR>\n" );
document.write( "18<BR>\n" );
document.write( "12<BR>\n" );
document.write( "8<BR>\n" );
document.write( "Number of miles driven<BR>\n" );
document.write( "90<BR>\n" );
document.write( "360<BR>\n" );
document.write( "540<BR>\n" );
document.write( "-----------------------------------------------------\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "x, miles driven   y, amount of gasoline in tank\r\n" );
document.write( "  90                18\r\n" );
document.write( "  360               12\r\n" );
document.write( "  540                8\r\n" );
document.write( "</PRE><BR>\n" );
document.write( "Checking slopes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812-18%29%2F%28360-90%29=-6%2F270=-1%2F45 ALIGN=MIDDLE  ALT=\"%2812-18%29%2F%28360-90%29=-6%2F270=-1%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288-12%29%2F%28540-360%29=-4%2F180=-1%2F45 ALIGN=MIDDLE  ALT=\"%288-12%29%2F%28540-360%29=-4%2F180=-1%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Picking first point in the list<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-18=%281%2F45%29%28x-90%29 ALIGN=MIDDLE  ALT=\"y-18=%281%2F45%29%28x-90%29\"   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=y-18=-x%2F45%2B2 ALIGN=MIDDLE  ALT=\"y-18=-x%2F45%2B2\"   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=y=-x%2F45%2B20 ALIGN=MIDDLE  ALT=\"y=-x%2F45%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or if you want name of function to be M, then  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28M%28x%29=-%281%2F45%29x%2B20%29 ALIGN=MIDDLE  ALT=\"highlight%28M%28x%29=-%281%2F45%29x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );