document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104227>Question 1104227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of gas in your car’s gas tank depends on the number of miles you have driven. <BR>\n" );
document.write( "Suppose you leave home with a full tank and begin driving at a constant speed. After driving 120 miles you have 12 gallons in your tank. <BR>\n" );
document.write( "After driving 220 miles you have 8.66 gallons in your tank. <BR>\n" );
document.write( "Assume the relationship is linear. \r<BR>\n" );
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document.write( "a. Find a function that models this situation.  (Input miles driven and output gallons of gas in your tank.)\r<BR>\n" );
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document.write( "b. How many gallons does your gas tank hold when full?\r<BR>\n" );
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document.write( "c. How many miles can you drive before you will run out of gas?\r<BR>\n" );
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document.write( "d. What is your car's approximate fuel efficiency in miles per gallon?\r<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 #718961 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=718961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = gallons of gas in tank<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = miles driven<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "The more miles that are driven, the <BR>\n" );
document.write( "less gallons are in the tank<BR>\n" );
document.write( "The general form for a linear equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+m%2Ax+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+m%2Ax+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+m%2A120+%2B+b+ ALIGN=MIDDLE  ALT=\"+12+=+m%2A120+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8.66+=+m%2A220+%2B+b+ ALIGN=MIDDLE  ALT=\"+8.66+=+m%2A220+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Subtract (2) from (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+m%2A120+%2B+b+ ALIGN=MIDDLE  ALT=\"+12+=+m%2A120+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-8.66+=+-m%2A220+-+b+ ALIGN=MIDDLE  ALT=\"+-8.66+=+-m%2A220+-+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3.34+=+-100m+ ALIGN=MIDDLE  ALT=\"+3.34+=+-100m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+-.0334+ ALIGN=MIDDLE  ALT=\"+m+=+-.0334+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+%28+-.0334+%29%2A120+%2B+b+ ALIGN=MIDDLE  ALT=\"+12+=+%28+-.0334+%29%2A120+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+-4.008++%2B+b+ ALIGN=MIDDLE  ALT=\"+12+=+-4.008++%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+16.008+ ALIGN=MIDDLE  ALT=\"+b+=+16.008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-.0334x+%2B+16.008+ ALIGN=MIDDLE  ALT=\"+y+=+-.0334x+%2B+16.008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-.0334%2A120+%2B+16.008+ ALIGN=MIDDLE  ALT=\"+y+=+-.0334%2A120+%2B+16.008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-4.008+%2B+16.008+ ALIGN=MIDDLE  ALT=\"+y+=+-4.008+%2B+16.008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+12+ ALIGN=MIDDLE  ALT=\"+y+=+12+\"   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=+y+=+-.0334%2A220+%2B+16.008+ ALIGN=MIDDLE  ALT=\"+y+=+-.0334%2A220+%2B+16.008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-7.348+%2B+16.008+ ALIGN=MIDDLE  ALT=\"+y+=+-7.348+%2B+16.008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+8.66+ ALIGN=MIDDLE  ALT=\"+y+=+8.66+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+0+ ALIGN=MIDDLE  ALT=\"+x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles driven, the tank is full<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-.0334%2A0+%2B+16.008+ ALIGN=MIDDLE  ALT=\"+y+=+-.0334%2A0+%2B+16.008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 16.008 gallons in tank when full<BR>\n" );
document.write( "-------------------------------------------<BR>\n" );
document.write( "(c)<BR>\n" );
document.write( "When does <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+0+ ALIGN=MIDDLE  ALT=\"+y+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-.0334x+%2B+16.008+ ALIGN=MIDDLE  ALT=\"+0+=+-.0334x+%2B+16.008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0334x+=+16.008+ ALIGN=MIDDLE  ALT=\"+.0334x+=+16.008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+479.281+ ALIGN=MIDDLE  ALT=\"+x+=+479.281+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can drive 479.281 mi before running out of gas<BR>\n" );
document.write( "-----------------------------------------------<BR>\n" );
document.write( "(d)<BR>\n" );
document.write( "[ gallons in tank ] = [ -gallons/mi ] + [ gallons w/full tank ]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+m%2Ax+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+m%2Ax+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+-.0334+ ALIGN=MIDDLE  ALT=\"+m+=+-.0334+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[ miles / gallon ] = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F.0334+ ALIGN=MIDDLE  ALT=\"+1%2F.0334+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F.0334+=+29.94+ ALIGN=MIDDLE  ALT=\"+1%2F.0334+=+29.94+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The fuel efficiency is 29.94 mi/gal\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );