Question

What is the relation between the variables in the equation x^4/y=7?

Answer 1

Option C is the correct option.

Explanation:

The given expression is
`x^(4)/y = 7`

Further we simplify the expression as

`y=(1)/(7)x^(4)`

Now if we put the value of x as 1, 2, 3, 4

Then
`y = (1)/(7)x^(4)`

For x = 1

y = 1/7×1 = 1/7

For x = 2

`y = (2^(4) )/(7) = (1)/(7).16`

For x = 3

`y=(1)/(7).3^(4)=(81)/(7)`

That means when we increase the value of x value of y gets increased.

Therefore y varies directly as
`x^(4)`

Option C is the correct option.

Answer 2

Answer: OPTION C

Explanation:

Direct variation, by definition, has the form shown below:

y=kx

Where k is the constant of proportionality.

Therefore, if you solve for y from the equation given in the problem above, you obtain:

`y=(x^(4))/(7)`

Where k=1/7

Therefore, it is a direct variation where y varies directly as x^4 (The option is C).