document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072503>Question 1072503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Having trouble setting up the equation for word problem: At 6:00 am, here's what we know about two airplanes: Airplane #1 has an elevation of 10140 ft. and climbs 1500 feet every 5 minutes. Airplane #2 has an elevation of 4340 ft. and climbs 1500 feet every 3 minutes.\r<BR>\n" );
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document.write( "(1)Let t represent the time in minutes since 6:00 am, and let E represent the elevation in feet. Write the equations for the elevations of each plane in terms of t plane #1: <BR>\n" );
document.write( "E(t)=<BR>\n" );
document.write( "E(t)=   <BR>\n" );
document.write( "plane #2: <BR>\n" );
document.write( "E(t)=<BR>\n" );
document.write( "E(t)=   <BR>\n" );
document.write( "(2)At what time will the two airplanes have the same elevation? <BR>\n" );
document.write( "t=<BR>\n" );
document.write( "t= minutes after 6:00 am Preview   <BR>\n" );
document.write( "(3) What is the elevation at that time? <BR>\n" );
document.write( "E=<BR>\n" );
document.write( "E= feet </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687457 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=687457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Airplane #1 has an elevation of 10140 ft. and climbs 1500 feet every 5 minutes. Airplane #2 has an elevation of 4340 ft. and climbs 1500 feet every 3 minutes. <BR>\n" );
document.write( "(1)Let t represent the time in minutes since 6:00 am, and let E represent the elevation in feet.<BR>\n" );
document.write( " Write the equations for the elevations of each plane in terms of t <BR>\n" );
document.write( "plane #1:<BR>\n" );
document.write( "I'm not sure I know what they want here, it's a simple problem, just write an equation for each plane.<BR>\n" );
document.write( "Find the climbing rate of each plane<BR>\n" );
document.write( "1500/5 = 300 ft/min<BR>\n" );
document.write( "and<BR>\n" );
document.write( "1500/3 = 500 ft/min<BR>\n" );
document.write( "then<BR>\n" );
document.write( "Plane 1: E(t) = 300t + 10140<BR>\n" );
document.write( "Plane 2: E(t) = 500t + 4340 <BR>\n" );
document.write( "Find the time for them to be at the same altitude<BR>\n" );
document.write( "500t + 4340 = 300t + 10140<BR>\n" );
document.write( "500t - 300t = 10140 - 4340<BR>\n" );
document.write( "200t = 5700<BR>\n" );
document.write( "t = 5800/200<BR>\n" );
document.write( "t = 29 minutes so the time would be 6:29<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the altitude at this time using the first plane equation<BR>\n" );
document.write( "E(t) = 300(29) + 10140<BR>\n" );
document.write( "E(t) = 8700 + 10140<BR>\n" );
document.write( "E(t) = 18840 ft, plane #1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this in the 2nd equation<BR>\n" );
document.write( "E(t) = 500(29) + 4340<BR>\n" );
document.write( "E(t) = 14500 = 4340<BR>\n" );
document.write( "E(t) = 18840 ft, plane #2  </SPAN>\n" );
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