does y vary directly with x?

x| y
2|10
4|24
6|36

A: yes; y = 2x
B: yes; y = 5x
C: yes; y = 7x
D: no; y does not vary directly with x

1 answer

To determine if y varies directly with x, we need to check if the ratio of y to x is constant.

When we calculate the ratio for each pair of values:
(10/2) = 5
(24/4) = 6
(36/6) = 6

We can see that the ratio is not constant. Therefore, y does not vary directly with x.

The correct answer is D: no; y does not vary directly with x.