document.write( "Question 35805: suppose that r varies directly as p and inversely as q^2, and that r = 27 when p =3 and q = 2. Find r when p = 2 and q = 3. \n" ); document.write( "
Algebra.Com's Answer #21917 by stanbon(75887)\"\" \"About 
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suppose that r varies directly as p and inversely as q^2, and that r = 27 when p =3 and q = 2. Find r when p = 2 and q = 3.\r
\n" ); document.write( "\n" ); document.write( "Since r varies directly as p and inversely as q^2,
\n" ); document.write( "r=kp/q^2
\n" ); document.write( "Need to find \"k\"
\n" ); document.write( "Since r=27 when p=3 and q=2,
\n" ); document.write( "27=k(3)/2^2
\n" ); document.write( "27=3k/4
\n" ); document.write( "108=3k
\n" ); document.write( "k=36
\n" ); document.write( "Equation:
\n" ); document.write( "r=(36)p/q^2
\n" ); document.write( "Now find r when p=2 and q=3.
\n" ); document.write( "r=(36)2/9
\n" ); document.write( "r=8
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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