Answer:
A) (4,1) C) (12,3) D) (20,5)
Step-by-step explanation:
Required
Which has a constant of proportionality of 1/4
To solve this, we make use of:
[tex]y = kx[/tex]
Where k is the constant of proportionality.
Solve for x
[tex]k = y/x[/tex]
Testing the given options
A) (4,1)
[tex]k = y/x[/tex]
[tex]k =1/4[/tex]
B) (8,12)
[tex]k = y/x[/tex]
[tex]k =12/8[/tex]
[tex]k =3/2[/tex]
C) (12,3)
[tex]k = y/x[/tex]
[tex]k = 3/12[/tex]
[tex]k = 1/4[/tex]
D) (20,5)
[tex]k = y/x[/tex]
[tex]k = 5/20[/tex]
[tex]k = 1/4[/tex]
E) (12,6)
[tex]k = y/x[/tex]
[tex]k =6/12[/tex]
[tex]k =1/2[/tex]