Respuesta :

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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