Question

Does Y Vary Directly with X If So What Is The Equation For The Direct Variation

X: 1 4 7
Y: 3 6 9

Answer 1

No Y and X do not vary directly.

Explanation:

The equation for direct variation is
`(y)/(x)=k`

This means
`(y)/(x)=k`, the ratio of y and x must be a constant.

In the given values:

for y = 3, x = 1

`(3)/(1)=3`

for y = 6, x = 4

`(6)/(4)=1.5`

for y = 9, x = 7

`(9)/(7)=1.28`

Since the ratio of y and x values is not a constant, there is no direct variation in the equation.