document.write( "Question 935900: A home uses 8 gallons of oil each day for heat. If it's oil storage tank is filled to 275 gallons, the function y=275-8x represents the number of gallons remaining in the tank after x days of use. Explain what the x-intercept represents and determine when the tank would be half full. \n" ); document.write( "

Algebra.Com's Answer #569270 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+y+=+275+-+8x+\"$
\n" ); document.write( "The x-intercept is the point ( x,0 )
\n" ); document.write( "Since $\"+y+=+0+\"$ at the x-intertcept, this
\n" ); document.write( "is the point where the remaining gallons
\n" ); document.write( "of oil in the tank = $\"+0+\"$ , and the value
\n" ); document.write( "of $\"+x+\"$ will be the number of days to
\n" ); document.write( "use up all $\"+275+\"$ gallons
\n" ); document.write( "-------------------------------
\n" ); document.write( "The tank will be half full when the remaining
\n" ); document.write( "gallons = $\"+275%2F2+\"$ , so I can say:
\n" ); document.write( " $\"+275%2F2+=+275+-+8x+\"$
\n" ); document.write( "Multiply both sides by $\"+2+\"$
\n" ); document.write( " $\"+275+=+550+-+16x+\"$
\n" ); document.write( " $\"+16x+=+550+-+275+\"$
\n" ); document.write( " $\"+16x+=+275+\"$
\n" ); document.write( " $\"+x+=+17.1875+\"$
\n" ); document.write( "The tank will be half full during the 17th day
\n" ); document.write( " \n" ); document.write( "

\n" );