document.write( "Question 257218: Write the equation that expresses the relationship between the variables, then use the given data to find the constant of variation. \r
\n" ); document.write( "\n" ); document.write( "t varies directly as the cube of r and inversely as the square root of s, and t = 10 when r = 5 and s = 0.09. \n" ); document.write( "

Algebra.Com's Answer #189127 by drk(1908) $\"\"$ $\"About$

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step 1 - write an expression for this sentence:
\n" ); document.write( "t varies directly as the cube of r and inversely as the square root of s
\n" ); document.write( "We get
\n" ); document.write( " $\"T+=+kr%5E3%2Fsqrt%28s%29\"$
\n" ); document.write( "step 2 - find k using the given information as
\n" ); document.write( " $\"10+=+k5%5E3%2Fsqrt%28.09%29\"$
\n" ); document.write( "we get
\n" ); document.write( " $\"10+=+125k%2F.3\"$
\n" ); document.write( "and then
\n" ); document.write( " $\"3+=+125k\"$
\n" ); document.write( "finally,
\n" ); document.write( " $\"k+=+3%2F125\"$
\n" ); document.write( "step 3 - rewrite with your new k value to get
\n" ); document.write( " $\"T+=+%283%2F125%29r%5E3%2Fsqrt%28s%29\"$ \n" ); document.write( "

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