document.write( "Question 633076: m varies directly as n and inversely as p. If m = 2 when n = 16 and p = 16, find p when m = 16 and n = 25 \n" ); document.write( "

Algebra.Com's Answer #398654 by ilana(307) $\"\"$ $\"About$

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If m varies directly as n, then m=k*n, where k is some number. If m also varies inversely as p, then m=k*n/p. So plug in the values to solve for k and get a general formula.
\n" ); document.write( "m=k*n/p (Note that (k*n)/p is the same as k*(n/p).)
\n" ); document.write( "2=k*16/16
\n" ); document.write( "2=k*1
\n" ); document.write( "2=k
\n" ); document.write( "So the formula is m=2*n/p. Now plug in the other values.
\n" ); document.write( "m=2*n/p
\n" ); document.write( "16=2*25/p
\n" ); document.write( "16=50/p
\n" ); document.write( "16*p=50 (I cross-multiplied.)
\n" ); document.write( "p=50/16
\n" ); document.write( "p=3.125
\n" ); document.write( " \n" ); document.write( "

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