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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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If Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be 9 centimeters.

Equation

Equation is used to show the relationship between two or more variables and numbers.

Let y represent the rectangle length and x represent the rectangle width.

y ∝ x

y = kx

k is the constant of proportionality.

y = 18 cm, x = 6 cm, hence:

18 = 6k

k = 3

When y = 27:

27 = 3x

x = 9 cm

If Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be 9 centimeters.

Find out more on equation at: https://brainly.com/question/13763238

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