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.
The value of the constant of proportionality k is 1/9
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
\(\rm y = \frac{2}{18} x\)
\(\rm y = \frac{1}{9} x\) .....(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
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