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The following table is an example of inverse variation.X Y 4 48 6 32 8 24 16 12 Which equation models the relationship between x and y? A) x=4/3 y B) x=y/192 C) y=192/x D) y=12x

Respuesta :

Answer:

C) y = 192/x

Explanation:

Since from the given table, we're told that the relationship between the two variables, x and y, is inverse variation. All we need to do now is to determine the constant of proportionality, k, as shown below;

[tex]\begin{gathered} y\propto\frac{1}{x} \\ y=\frac{k}{x} \\ k=yx \end{gathered}[/tex]

When x = 4, and y = 48, let's solve for x;

[tex]\begin{gathered} k=48\times4 \\ k=192 \end{gathered}[/tex]

So if we substitute the value of x into our equation, we'll have;

[tex]y=\frac{192}{x}[/tex]

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