document.write( "Question 1148037: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 14 hours of burning, a candle has a height of 18.2 centimeters. After 31 hours of burning, its height is 14.8 centimeters. What is the height of the candle after 21 hours? \n" ); document.write( "
Algebra.Com's Answer #769408 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You are given 2 points on a straight line
\n" ); document.write( "( 14, 18.2 )
\n" ); document.write( "( 31, 14.8 )
\n" ); document.write( "Use the general point-slope formula to get the equation
\n" ); document.write( "-----------------------
\n" ); document.write( "\"+%28+h+-+14.8+%29+%2F+%28+t+-+31+%29+=+%28+18.2+-+14.8+%29+%2F+%28+14+-+31+%29+\"
\n" ); document.write( "\"+%28+h+-+14.8+%29+%2F+%28+t+-+31+%29+=+3.4+%2F+%28-17%29+\"
\n" ); document.write( "\"+%28+h+-+14.8+%29+%2F+%28+t+-+31+%29+=+-.2+\"
\n" ); document.write( "\"+h+-+14.8+=+-.2%2A%28+t+-+31+%29+\"
\n" ); document.write( "\"+h+-+14.8+=+-.2t+%2B+6.2+\"
\n" ); document.write( "\"+h+=+-.2t+%2B+21+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "Now find \"+h+\" at the point ( 21, h )
\n" ); document.write( "\"+h+=+-.2t+%2B+21+\"
\n" ); document.write( "\"+h+=+-.2%2A21+%2B+21+\"
\n" ); document.write( "\"+h+=+-4.2+%2B+21+\"
\n" ); document.write( "\"+h+=+16.8+\" cm
\n" ); document.write( "--------------------------
\n" ); document.write( "check the equation:
\n" ); document.write( "( 14, 18.2 )
\n" ); document.write( "\"+h+=+-.2t+%2B+21+\"
\n" ); document.write( "\"+18.2+=+-.2%2A14+%2B+21+\"
\n" ); document.write( "\"+18.2+=+-2.8+%2B+21+\"
\n" ); document.write( "\"+18.2+=+18.2+\"
\n" ); document.write( "You can check the other point\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );