document.write( "Question 187547: Suppose z varies directly as x and inversely as the square of y. When x = 35 and y = 7, the value of z is 50. Choose the function that models the relationship and z when x = 5 and y = 10 \n" ); document.write( "
Algebra.Com's Answer #140679 by ankor@dixie-net.com(22740)\"\" \"About 
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: Suppose z varies directly as x and inversely as the square of y.
\n" ); document.write( "z = \"%28kx%29%2Fy%5E2\"
\n" ); document.write( ":
\n" ); document.write( " When x = 35 and y = 7, the value of z is 50.
\n" ); document.write( "Find k using the above values
\n" ); document.write( "\"%28kx%29%2Fy%5E2\" = z
\n" ); document.write( "\"%2835k%29%2F7%5E2\" = 50
\n" ); document.write( "\"k%2F49\" = \"50%2F35\"
\n" ); document.write( "\"k%2F49\" = \"10%2F7\"
\n" ); document.write( "k = \"10%2F7\" * 49
\n" ); document.write( "k = 10 * 7
\n" ); document.write( "k = 70\r
\n" ); document.write( "\n" ); document.write( " Choose the function that models the relationship and z when x = 5 and y = 10
\n" ); document.write( ":
\n" ); document.write( "z = \"%2870x%29%2Fy%5E2\" is the function
\n" ); document.write( "z = \"%2870%2A5%29%2F10%5E2\"
\n" ); document.write( "z = \"350%2F100\"
\n" ); document.write( "z = 3.5 \n" ); document.write( "
\n" );