Question

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

Answer 1

Answer: OPTION C

Step-by-step 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:

$y=\frac{x^{4}}{7}$

Where k=1/7

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

Answer 2

Answer:

Option C is the correct option.

Step-by-step explanation:

The given expression is $x^{4}/y = 7$

Further we simplify the expression as

$y=\frac{1}{7}x^{4}$

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

Then $y = \frac{1}{7}x^{4}$

For x = 1

y = 1/7×1 = 1/7

For x = 2

$y = \frac{2^{4} }{7} = \frac{1}{7}.16$

For x = 3

$y=\frac{1}{7}.3^{4}=\frac{81}{7}$

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.