Answer:
k = 2/3
Step-by-step explanation:
When a variable y directly relates to another variable x, we can say:
y=kx
Given the equation, we can say
3y=2x
y= 2x/3
Putting the value of y from above discussion
kx = 2x/3
x is being cancelled on both sides of equation
k= 2/3
The constant of proportionality in the equation 3y = 2x
Variation either be direct, inverse, partial, or joint in nature.
For example, if y is directly proportional to x, this is expressed as:
y ∝ x
y = kx .................... 1
k = y/x
Given the expression 3y = 2x
Divide both sides by 3
3y/3 = 2x/3
y = 2/3 x ................ 2
Compare equation 1 and 2 to find "k"
kx = 2/3 x
k = 2/3
Hence the constant of proportionality in the equation 3y = 2x
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