Respuesta :

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Constant of proportionality is defined as the ratio between two directly proportional quantities.

If suppose [tex]x[/tex] and [tex]y[/tex] are the two directly proportional quantities, then we can say that constant of proportionality is given as [tex] \frac{y}{x}[/tex].

Here in the question,

[tex]y=\frac{2}{9}x[/tex]

Dividing both sides by [tex]x[/tex], we get

[tex]\frac{y}{x}=\frac{2x}{9x}[/tex]

[tex]\frac{y}{x}=\frac{2}{9}[/tex]

So, constant of proportionality is [tex]\frac{2}{9}[/tex].

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