## Related questions with answers

Question

Identify the constant of variation. Then write the equation of variation.

w varies inversely with z; w = -8 when z = 3.

Solution

VerifiedStep 1

1 of 2Since $w$ varies inversely as $z,$ then $wz=k.$

Substituting the known values of $w$ and $z$ results to

$\begin{align*} wz&=k \\ (-8)(3)&=k \\ k&=-24 .\end{align*}$

Hence, the constant of variation and the equation of variation are:

$\begin{align*} \text{Constant of Variation ($k$): }& -24 \\\text{Variation Equation: }& wz=-24 .\end{align*}$

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