Question

Write an equation that expresses the following relationship. u varies jointly with p and d and inversely with w In your equation, use k as the constant of proportionality.

Answer 1

Answer:

$\boxed{y=k\frac{pd}{w}}$

Explanation:

Let's explain what direct and indirect variation mean:

• When we say that $y$ varies jointly as $x \ and \ w$, we mean that:

$y=kxw$ for some nonzero constant $k$ that is the constant of variation or the constant of proportionality.

• On the other hand, when we say that $y$ varies inversely as $x$ or $y$ is inversely proportional to $x$, we mean that:

$y=\frac{k}{x}$ for some nonzero constant $k$, where $k$ is also the constant of variation.

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In this problem, $u$ varies jointly with $p$ and $d$ and inversely with $w$, being $k$ the constant of proportionality, then:

$\boxed{y=k\frac{pd}{w}}$