document.write( "Question 869260: The relationship shown in the table is a direct variation.\r
\n" ); document.write( "\n" ); document.write( "x = 5, y = 15; x = 6, y = 18; x = 7, y = 21; x = 8, y = 24\r
\n" ); document.write( "\n" ); document.write( "Which equation best represents this relationship?\r
\n" ); document.write( "\n" ); document.write( "f y = 4x - 5
\n" ); document.write( "g y = x + 10
\n" ); document.write( "h y = 3x
\n" ); document.write( "j y = (1/3)x
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #525995 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Plug in x=5 in them all to see if we get y = 15.\r\n" );
document.write( "\r\n" );
document.write( " f y = 4x - 5 = 4(5)-5 = 20-5 = 15.  That works:\r\n" );
document.write( " g y = x + 10 = 5+10 = 15.  That works.\r\n" );
document.write( " h y = 3x = 3(5) = 15.  That works,\r\n" );
document.write( " j y = (1/3)x = (1/3)(5) = 5/3.  That doesn't work.  So we eliminate j\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Plug in x=6 in the remaining ones to see if we get y = 18.\r\n" );
document.write( "\r\n" );
document.write( " f y = 4x - 5 = 4(6)-5 = 24-5 = 19.  That doesn't work. So we eliminate f\r\n" );
document.write( " g y = x + 10 = 6+10 = 16.  That doesn't work.  So we eliminate g\r\n" );
document.write( " h y = 3x = 3(6) = 18.  That works,  So that's the correct choice.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );