Question

Suppose y varies jointly as x and z. Find y when x=2and z =27, if y = 192 when x=8 and z= 6.

Answer 1

Varying jointly means varying directly.
That means
y = kxz, for some constant k.

To fully define the relation, we need to find k.
We are given that y = 192 when x = 8 and z = 6.
Using these values, we can find k:
y = kxz
192 = k(8)(6)
k = 4

Now with k = 4, we can fully express the relation as
y = 4xz.

Now all you need to do is plug in x = 2 and z = 27 into
y = 4xz to find y.

Answer 2

y=216?

Answer 3

Correct.

Answer 4

Okay thank you! @mathstudent55