Question

y varies inversely with the fourth root of x and y=4 when x=1/16 then what is the value of y when x=1/81

Answer 1

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Answer 2

Answer:

The value of y is 6.

Step-by-step explanation:

It has been given that y varies inversely with the fourth root of x. Thus, Mathematically, we have

$y=\frac{k}{\sqrt[4]{x}}$

Now, when y =4, x= 1/16

$4=\frac{k}{\sqrt[4]{1/16}}$

On simplifying

$4=\frac{k}{\frac{1}{2}}\\\\k=2$

Now, we have to find the value for y, when x = 1/81

$y=\frac{2}{\sqrt[4]{\frac{1}{81}}}$

On simplifying the fourth root

$y=\frac{2}{\frac{1}{3}}\\\\y=2\times3\\\\y=6$

Therefore, the value of y is 6.