document.write( "Question 1053919: a faucet is used to add water to a large bottle that already contained some water. After it had been filling for 4 seconds, the gauge on the bottle indicates that it contains 10 ounces of water. After 11 seconds of filling, the gauge reads 24 ounces of water. Let y be the amount of water in the bottle x seconds after the water was turned on. write a linear equation. \n" ); document.write( "
Algebra.Com's Answer #669142 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You are given 2 points on the straight line
\n" ); document.write( "that tells you the ounces of water in the bottle
\n" ); document.write( "at any time \"+x+\" after water was turned on
\n" ); document.write( "in seconds
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "The given points, ( x,y ), are:
\n" ); document.write( "( 4, 10 )
\n" ); document.write( "( 11, 24 )
\n" ); document.write( "-------------
\n" ); document.write( "You can use the general point-slope formula:
\n" ); document.write( "\"+%28+y+-+10+%29+%2F+%28+x+-+4+%29+=+%28+24+-+10+%29+%2F+%28+11+-+4+%29+\"
\n" ); document.write( "\"+%28+y+-+10+%29+%2F+%28+x+-+4+%29+=+14%2F7+\"
\n" ); document.write( "\"+%28+y+-+10+%29+%2F+%28+x+-+4+%29+=+2+\"
\n" ); document.write( "\"+y+-+10+=+2%2A%28+x+-+4+%29+\"
\n" ); document.write( "\"+y+-+10+=+2x+-+8+\"
\n" ); document.write( "\"+y+=+2x+%2B+2+\"
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "does it go through ( 4,10 )?
\n" ); document.write( "\"+10+=+2%2A4+%2B+2+\"
\n" ); document.write( "\"+10+=+10+\"
\n" ); document.write( "OK
\n" ); document.write( "does it go through ( 11,24 ) ?
\n" ); document.write( "\"+24+=+2%2A11+%2B+2+\"
\n" ); document.write( "\"+24+=+24+\"
\n" ); document.write( "OK
\n" ); document.write( "Note that when \"+x=0+\" ( started filling ), the
\n" ); document.write( "bottle already had \"+2+\" ounces in it
\n" ); document.write( "
\n" ); document.write( "
\n" );