Respuesta :

Answer:

The constant of proportionality is [tex]k=\frac{7}{9}[/tex]

Step-by-step explanation:

Recall that the equation for direct variation is [tex]y=kx[/tex] where [tex]y[/tex] varies directly with [tex]x[/tex] and [tex]k[/tex] is the constant of proportionality.

Here, [tex]k=\frac{7}{9}[/tex] since [tex]2(\frac{7}{9})=\frac{14}{9}=1\frac{5}{9}[/tex], [tex]3(\frac{7}{9})=\frac{21}{9}=2\frac{3}{9}[/tex], and so on.