document.write( "Question 787050: Dear Math tutor,\r
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document.write( "p varies directly as the square root of q.
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document.write( "p=8 when q=25
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document.write( "Find p when q =100\r
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document.write( "what does varies directly mean?\r
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document.write( "Thank you\r
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document.write( "Best Wishes,
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document.write( "Nats \n" );
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Algebra.Com's Answer #478059 by stanbon(75887)![]() ![]() ![]() 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( "============== \n" ); document.write( " \n" ); document.write( " |