document.write( "Question 787050: Dear Math tutor,\r
\n" ); document.write( "\n" ); document.write( "p varies directly as the square root of q.
\n" ); document.write( "p=8 when q=25
\n" ); document.write( "Find p when q =100\r
\n" ); document.write( "\n" ); document.write( "what does varies directly mean?\r
\n" ); document.write( "\n" ); document.write( "Thank you\r
\n" ); document.write( "\n" ); document.write( "Best Wishes,
\n" ); document.write( "Nats
\n" ); document.write( "

Algebra.Com's Answer #478059 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
\"varies directly\" means \"if x increases, y will increase\".
\n" ); document.write( "The way to express that algebraically is x = ky.
\n" ); document.write( "\"k\" is call the constant of variation.
\n" ); document.write( "===================
\n" ); document.write( "Your Problem::
\n" ); document.write( "p varies directly as the square root of q.
\n" ); document.write( "p = k*sqrt(q)
\n" ); document.write( "------
\n" ); document.write( "Solve for \"k\" using \"p=8 when q=25\"
\n" ); document.write( "8 = k*sqrt(25)
\n" ); document.write( "8 = k*5
\n" ); document.write( "k = 8/5
\n" ); document.write( "------
\n" ); document.write( "Equation:
\n" ); document.write( "p = (8/5)sqrt(q)
\n" ); document.write( "-------
\n" ); document.write( "Find p when q =100
\n" ); document.write( "p = (8/5)*sqrt(100)
\n" ); document.write( "p = 16
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==============
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