Answer:
(B). [tex]y=9x[/tex]
Step-by-step explanation:
We have been given 4 equations. We are asked to choose an equation which has constant of proportionality equal to 9.
We know that two proportional quantities are in form [tex]y=kx[/tex], where k is constant of proportionality.
(A). [tex]y=\frac{81}{3}x[/tex]
[tex]y=27x[/tex]
We can see that value of k is 27, therefore, option A is not a correct choice.
(B). [tex]y=9x[/tex]
We can see that value of k is 9, therefore, option B is the correct choice.
(C). [tex]y=3x[/tex]
We can see that value of k is 3, therefore, option C is not a correct choice.
(D). [tex]y=\frac{1}{9}x[/tex]
We can see that value of k is 1/9, therefore, option D is not a correct choice.