one question plzzz helppppp

Question

for the data in the table, does y vary directly with x? if it does, write an equation for the direct variation.
x , y
16 , 4
32 , 16
48 , 36

A: yes, y=2x
B: no, y does not vary directly with x
C: yes, y=8x
D: yes, y=4x

Answer 1

geez- could you not just try the choices?
A. clearly false, since 4 ≠ 2*16
same for C,D since clearly, y < x for all the values.

But, maybe it does vary directly, but it's not A,C,D.
Recall that direct variation means that y = kx for some constant k.
That means that y/x is constant
4/16 = 1/4
16/32 = 1/2
So clearly y/x is not constant. So pick B