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A proportional relationship is represented by the equation 2x = 18y. IF y = kx, where k is the constant of proportionality, find the value of k.

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konrad509
[tex]2x=18y\\ y=\dfrac{2}{18}x\\ y=\dfrac{1}{9}x\\\\ k=\dfrac{1}{9}[/tex]

The value of the constant of proportionality k is 1/9

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases the second variable also increases according to the constant factor.

We have a proportional relationship is represented by the equation:

2x = 18y

After arranging the equation take the subject y

[tex]\rm y = \frac{2}{18} x[/tex]

[tex]\rm y = \frac{1}{9} x[/tex] .....(1)

Comparing this equation to the equation y = kx

We will get the value of k which is the coefficient of x in the equation (1)

k = 1/9

Thus, the value of the constant of proportionality k is 1/9

Learn more about the proportional here:

https://brainly.com/question/14263719

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