Question

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

Answer 1

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}`