document.write( "Question 1191489: z varies jointly with x and y. When x=5 and y=2, z=70. Find z when x=4 and y =8.\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #823263 by Theo(13342)![]() ![]() You can put this solution on YOUR website! joint variation formula is z = k * x * y \n" ); document.write( "when x = 5 and y = 2 and z = 70, formula becomes: \n" ); document.write( "70 = k * 5 * 2 \n" ); document.write( "simplify to get: \n" ); document.write( "70 = 10 * k \n" ); document.write( "solve for k to get: \n" ); document.write( "k = 7. \n" ); document.write( "when x = 4 and y = 8 and k = 7, the formula becomes: \n" ); document.write( "z = 7 * 4 * 8 \n" ); document.write( "solve for z to get z = 224 \n" ); document.write( "that's your solution. \n" ); document.write( "k is the constant of variation. \n" ); document.write( "it remains the same when the other variables in the equation change. \n" ); document.write( "solve for k first, then use k to solve for another of the variables, such as z, in this case.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |