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Mr. Montoya instructs the students in his math class to draw a rectangle with a certain area. Catlynn draws a rectangle with a length

18 centimeters and a width of 6 centimeters.

This proportional situation represents

variation.

The constant of variation, k, is equal to

if Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be

centimeters.

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The constant of variation, k, is equal to 108. This is an inverse proportion and when L is 27 cm, W is 4 cm

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The length (L) is inversely proportional to the width (W), hence:

L = k/W

18 = k/6

k = 108

When L = 27:

27 = 108/W

W = 4

The constant of variation, k, is equal to 108. This is an inverse proportion and when L is 27 cm, W is 4 cm

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