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)yes; y=1/4x
C)yes; y=1/8x
D) No; y does not vary directly with x

Answer 1

I think the answer is D because when I try to solve them they don't equal each other

Answer 2

D) No; y does not vary directly with x.

Explanation:

We can affirm that y varies directly with x, that is, that y is directly proportional to x if they fulfill the following condition.

y/x = k

where,

k is a constant number

We have 3 ordered pairs:

a) (16, 4)

b) (32, 16)

c) (48, 36)

If we perform y/x for each ordered pair,

a) 4/16 = 0.25

b) 16/32 = 0.50

c) 36/48 = 0.75

Since y/x is not constant, y does not vary directly with x.