Question

2. y is inversely proportional to cube of x.

Answer 1

Answer:

y = 0.5 at x = 4

Step-by-step explanation:

According to question,

y is inversely proportional to cube of x i.e.

$y\propto \dfrac{1}{x^3}\\\\y=\dfrac{k}{x^3}$

or

$k=yx^3$

Put x = 2 and y = 4 in above expression to find k.

$k=4\times (2)^3\\\\=32$

Now put x = 4 to given equation to find y.

$y=\dfrac{32}{4^3}$

y = 0.5 or 1/2

So, the value of y is 0.5 when x = 4.