Y varies jointly as x and z, and inversely as w: y=3 when x=-2, z=6, and w=12. •Write the equation that represents this relationship. •What is the constant?

Question

asked Jul 22, 2021 115k views

1 Answer

Zoccadoum · Answer 1 · 2021-07-27T22:00:06+0000

Write the equation that represents this relationship

y = -3 * (xz)/(w)

The constant is -3

Solution:

Given that,

y varies jointly as x and z, and inversely as w

Therefore,

$y \propto (xz)/(w)$

$y = k * (xz)/(w) ------ eqn\ 1$

Where, k is constant of propotionality

y = 3 when x = -2, z = 6, and w = 12

Substitute in eqn 1

$3 = k * (-2 * 6)/(12)\\\\3 = k * -1\\\\k = -3$

Write the equation that represents this relationship

Substitute k = -3 in eqn 1

y = -3 * (xz)/(w)

Thus the equation is found