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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.

Respuesta :

danielmaduroh

Answer:

[tex]\boxed{y=k\frac{pd}{w}}[/tex]

Explanation:

Let's explain what direct and indirect variation mean:

  • When we say that [tex]y[/tex] varies jointly as [tex]x \ and \ w[/tex], we mean that:

[tex]y=kxw[/tex] for some nonzero constant [tex]k[/tex] that is the constant of variation or the constant of proportionality.

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

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

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

[tex]\boxed{y=k\frac{pd}{w}}[/tex]

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