document.write( "Question 370074: for the data in the table tell whether y varies directly with x if it does write an equation for the direct variation\r
\n" ); document.write( "\n" ); document.write( "x y
\n" ); document.write( "0 0
\n" ); document.write( "1 -2.5
\n" ); document.write( "2 -5
\n" ); document.write( "3 -7.5
\n" ); document.write( "

Algebra.Com's Answer #263726 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( "*Note: when x = 0, then y = 0
\n" ); document.write( "Letting k represent the constant to see if y varies directly with x:
\n" ); document.write( "y = k*x
\n" ); document.write( "using Pt (1,(-5/2)) to solve for k
\n" ); document.write( "(-5/2) = k*1
\n" ); document.write( "(-5/2) = k
\n" ); document.write( "checking k against the remaining data
\n" ); document.write( "-5 = (-5/2)*2
\n" ); document.write( "-7.5 = -7 1/2 = (-15/2)= (-5/2)*3
\n" ); document.write( "y = (-5/2)x is the equation for this direct variation \n" ); document.write( "
\n" );