document.write( "Question 406199: When x = 2 and y = 3, z = 42. Write the function that models each of the following relationships.
\n" ); document.write( "1. z varies inversely with x and directly with y. \r
\n" ); document.write( "\n" ); document.write( "2. z varies jointly with x and y \r
\n" ); document.write( "\n" ); document.write( "3. z varies directly with x and inversely with the square of y
\n" ); document.write( "

Algebra.Com's Answer #286711 by stanbon(75887)\"\" \"About 
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When x = 2 and y = 3, z = 42. Write the function that models each of the following relationships.
\n" ); document.write( "1. z varies inversely with x and directly with y.
\n" ); document.write( "z = k*3/2
\n" ); document.write( "z = (3/2)k
\n" ); document.write( "--------------------
\n" ); document.write( "2. z varies jointly with x and y
\n" ); document.write( "z = k*2*3
\n" ); document.write( "z = 6k
\n" ); document.write( "==============
\n" ); document.write( "3. z varies directly with x and inversely with the square of y
\n" ); document.write( "z = k*x/y^2
\n" ); document.write( "z = k*2/9
\n" ); document.write( "z = (2/9)k
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );