document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034625>Question 1034625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 5.6  . See the figure below.  With 45 gallons of fuel in its tank, the airplane has a weight of 2352 pounds. What is the weight of the plane with 14gallons of fuel in its tank?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649371 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Don't have the diagram but I think I can help...if the slope is 5.6, we have<BR>\n" );
document.write( "y = 5.6x + b<BR>\n" );
document.write( "for starters...now with x = 45, we have y = 2352 and we can find b...<BR>\n" );
document.write( "2352 = 5.6(45) + b<BR>\n" );
document.write( "2352 = 252 + b<BR>\n" );
document.write( "b = 2100<BR>\n" );
document.write( "Thus our equation is<BR>\n" );
document.write( "y = 5.6x + 2100<BR>\n" );
document.write( "With only 14 gallons, x = 14 and<BR>\n" );
document.write( "y = 5.6(14) + 2100 = 2178.4 pounds </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );