document.write( "Question 133757: The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 23 minutes requires 4.6 gallons of water. Find the amount of water used in a shower lasting 4 minutes.
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #97864 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, from the problem description, you can write:
\n" ); document.write( " $\"W+=+kt\"$ where W is the amount of water used in time, t. k is the constant of variation. Now substitute the given values of W (4.6 gallons) and t (23 minutes) to find the value of k.
\n" ); document.write( " $\"4.6+=+k%2823%29\"$ Divide both sides by 23.
\n" ); document.write( " $\"k+=+4.6%2F23\"$
\n" ); document.write( " $\"k+=+0.2\"$ so now the equation for this problem is:
\n" ); document.write( " $\"W+=+0.2t\"$ Substitute t = 4 minutes to find the amount of water, W.
\n" ); document.write( " $\"W+=+0.2%284%29\"$
\n" ); document.write( " $\"W+=+0.8\"$ gallons. \n" ); document.write( "

\n" );