Question

The variables x, y, and z vary jointly.

1. If x = 4, y = 3, and z = 24, what is the constant of variation, k?
2. Now find z when x = -3 and y = 4.
k=
When x = -3 and y = 4, z =

Answer 1

k = 18

when x = 4, y = 3, z = -24

Explanation:

x = k * y * z

Find k when x = 4, y = 3, and z = 24

4 = k * 3 * 24

4 = k * 72

4 = 72k

k = 72/4

k = 18

find z when x = -3 and y = 4

x = k * y * z

-3 = 18 * 4 * z

-3 = 72 * z

-3 = 72z

z = 72/-3

z = -24