If the width (4) of a rectangle varies inversely as its length (12), the equation that represents the inverse variation is: B. [tex]\mathbf{y = \frac{48}{x} }[/tex]
Recall:
An inverse proportion relationship is represented with the equation, y = k/x.
k is the constant, which is: k = xy
Given:
Width varies inversely with the length of a rectangle, if:
width = 4
length = 12
The constant, k = (4)(12)
k = 48
To write the equation that matches the scenario given, plug in the value of k = 48 into y = k/x, which is:
[tex]\mathbf{y = \frac{48}{x} }[/tex]
Therefore, if the width (4) of a rectangle varies inversely as its length (12), the equation that represents the inverse variation is: B. [tex]\mathbf{y = \frac{48}{x} }[/tex]
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