Question

The width of a rectangle varies inversely with the length of the rectangle. The width is 4

Answer 1

If the width (4) of a rectangle varies inversely as its length (12), the equation that represents the inverse variation is: B. $\mathbf{y = \frac{48}{x} }$

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:

$\mathbf{y = \frac{48}{x} }$

Therefore, if the width (4) of a rectangle varies inversely as its length (12), the equation that represents the inverse variation is: B. $\mathbf{y = \frac{48}{x} }$

Learn more here:

brainly.com/question/13345186