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Write an equation describing the relationship of the given variables Y varies jointly as x and the square root of z and when x=5 and z=9 then y=225

User Murali N
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1 Answer

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y varies jointly as x and the square root of z, is translated as


y=kx\sqrt[]{z}

When x = 5, and z = 9, then y = 225. Solve for k, and we get


\begin{gathered} y=kx\sqrt[]{z} \\ 225=k(5)\sqrt[]{9} \\ 225=5k\cdot3 \\ 225=15k \\ 15k=225 \\ (15k)/(15)=(225)/(15) \\ k=15 \end{gathered}

Substitute k back, and the equation of the relationship of the given variables is


y=15x\sqrt[]{z}

User Ethan Wu
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