Question

Quick Nav
Y is inversely proportional to the cube of x. If Y=6 when x = 2, then the constant of variation
is 48.
True
O False

Answer 1

Given that

y is inversely proportional to the cube of x.

Explanation -

Since it is given that we have to check that for y = 6 and x = 2, the value of variation is 48 or not.

The question can be written as

$y\propto\frac{1}{x^3}$

It can be written as

$\begin{gathered} y=k\times\frac{1}{x^3} \\ where\text{ k = constant of variation} \end{gathered}$

Sustituting the values of x and y.