document.write( "Question 847263:
Tell whether the table represents inverse variation.\r\n" );
document.write( "If so, write the inverse equation and solve for y \r\n" );
document.write( "when x=4. Show work that supports your conclusions.\r\n" );
document.write( "\r\n" );
document.write( "The Table\r\n" );
document.write( "Amperes (X)      Ohms  (y)  \r\n" );
document.write( "   310             .04             \r\n" );
document.write( "   124              .1\r\n" );
document.write( "   62               .2 \r\n" );
document.write( "  15.5              .8
\n" ); document.write( "

Algebra.Com's Answer #510325 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Tell whether the table represents inverse variation.\r\n" );
document.write( "If so, write the inverse equation and solve for y \r\n" );
document.write( "when x=4. Show work that supports your conclusions.\r\n" );
document.write( "\r\n" );
document.write( "The Table\r\n" );
document.write( "Amperes (X)      Ohms  (y)  \r\n" );
document.write( "   310             .04             \r\n" );
document.write( "   124              .1\r\n" );
document.write( "   62               .2 \r\n" );
document.write( "  15.5              .8\r\n" );
document.write( "\r\n" );
document.write( "We will start with the inverse equation\r\n" );
document.write( "\r\n" );
document.write( "\"y\"\"%22%22=%22%22\"\"k%2Fx\"\r\n" );
document.write( "\r\n" );
document.write( "and substitute in the values and see if the k remains constant:\r\n" );
document.write( "\r\n" );
document.write( "\"y\"\"%22%22=%22%22\"\"k%2Fx\"\r\n" );
document.write( "\r\n" );
document.write( "We substitute x = 310 and y = .04 and solve for k\r\n" );
document.write( "\r\n" );
document.write( "\".04\"\"%22%22=%22%22\"\"k%2F310\"\r\n" );
document.write( "\r\n" );
document.write( "We multiply both sides by 310\r\n" );
document.write( "\r\n" );
document.write( "\"12.4\"\"%22%22=%22%22\"\"k\"\r\n" );
document.write( "\r\n" );
document.write( "We substitute x = 124 and y = .1 and solve for k\r\n" );
document.write( "\r\n" );
document.write( "\".1\"\"%22%22=%22%22\"\"k%2F124\"\r\n" );
document.write( "\r\n" );
document.write( "We multiply both sides by 124\r\n" );
document.write( "\r\n" );
document.write( "\"12.4\"\"%22%22=%22%22\"\"k\"\r\n" );
document.write( "\r\n" );
document.write( "So far, so good.  k is so far stayed constant\r\n" );
document.write( "at 12.4.  But we must check the others too.\r\n" );
document.write( "Substitute x = 62 and y = .8 and solve for k\r\n" );
document.write( "\r\n" );
document.write( "\".8\"\"%22%22=%22%22\"\"k%2F62\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by 62\r\n" );
document.write( "\r\n" );
document.write( "\"12.4\"\"%22%22=%22%22\"\"k\"\r\n" );
document.write( "\r\n" );
document.write( "k is still 12.4\r\n" );
document.write( "\r\n" );
document.write( "Substitute x = 15.5 and y = .8 and solve for k\r\n" );
document.write( "\r\n" );
document.write( "\".8\"\"%22%22=%22%22\"\"k%2F15.5\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by 15.5\r\n" );
document.write( "\r\n" );
document.write( "\"12.4\"\"%22%22=%22%22\"\"k\"\r\n" );
document.write( "\r\n" );
document.write( "Since the constant k remained constant for\r\n" );
document.write( "all the given values, we can assume that\r\n" );
document.write( "the table represents inverse variation.\r\n" );
document.write( "\r\n" );
document.write( "So we write the inverse equation\r\n" );
document.write( "\r\n" );
document.write( "\"y\"\"%22%22=%22%22\"\"k%2Fx\"\r\n" );
document.write( "\r\n" );
document.write( "with k = 12.4\r\n" );
document.write( "\r\n" );
document.write( "\"y\"\"%22%22=%22%22\"\"12.4%2Fx\" \r\n" );
document.write( "\r\n" );
document.write( "and solve for y when x=4.\r\n" );
document.write( "\r\n" );
document.write( "\"y\"\"%22%22=%22%22\"\"12.4%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "\"y\"\"%22%22=%22%22\"\"3.1\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );