Answer :
[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
