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

Question

asked Feb 28, 2023 107k views

1 Answer

Ethan Wu · Answer 1 · 2023-03-06T11:12:32+0000

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

$y=15x\sqrt[]{z}$