document.write( "Question 71910: Can u help with variation?
\n" ); document.write( "Describe the combined variation that is modeled by each formula.
\n" ); document.write( "V = Bh÷3
\n" ); document.write( "V = (r^2)h
\n" ); document.write( "h = V÷(r^2) \r
\n" ); document.write( "\n" ); document.write( "------------\r
\n" ); document.write( "\n" ); document.write( "Write the funtion that models each variation. Find z when x = 4 and y = 9.
\n" ); document.write( "z varies directly with x and inversely with y. When x = 6 and y = 2, z = 15.
\n" ); document.write( "z varies jointly with x and y. When x = 2 and y = 3, z = 60
\n" ); document.write( "z varies directly with the square of x and inversely with y. When x = 2 and y = 4, z = 3.
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Algebra.Com's Answer #51403 by stanbon(75887)\"\" \"About 
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Describe the combined variation that is modeled by each formula.
\n" ); document.write( "V = Bh÷3
\n" ); document.write( "V varies directly with B; V varies directly with h; B and h vary inversely
\n" ); document.write( "----------------
\n" ); document.write( "V = (r^2)h
\n" ); document.write( "V varies directly with r^2; V varies directly with h; r^2 and h vary inversely
\n" ); document.write( "------------
\n" ); document.write( "h = V÷(r^2)
\n" ); document.write( "h varies directly with V; h varies inversely with r^2; V and r^2 vary directly
\n" ); document.write( "------------
\n" ); document.write( "Write the funtion that models each variation.
\n" ); document.write( "Find z when x = 4 and y = 9.
\n" ); document.write( "z varies directly with x and inversely with y.\r
\n" ); document.write( "\n" ); document.write( "z = kx/y ; z = (4/9)k (k is the constant of variation)
\n" ); document.write( "---------------
\n" ); document.write( "When x = 6 and y = 2, z = 15.
\n" ); document.write( "z varies jointly with x and y.
\n" ); document.write( "z = kxy
\n" ); document.write( "15 = (6*2)k
\n" ); document.write( "15 = 12k
\n" ); document.write( "k=5/4
\n" ); document.write( "-------------\r
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\n" ); document.write( "\n" ); document.write( " When x = 2 and y = 3, z = 60
\n" ); document.write( "z varies directly with the square of x and inversely with y.
\n" ); document.write( "z = kx^2/y
\n" ); document.write( "60 = k(4/3)
\n" ); document.write( "k=45
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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\n" ); document.write( "\n" ); document.write( " When x = 2 and y = 4, z = 3.
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