Question

2. y is inversely proportional to cube of x.

When x = 2, y = 4.
Find y when x = 4
(3 Points)

Answer 1

y = 0.5 at x = 4

Explanation:

According to question,

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

`y\propto (1)/(x^3)\\\\y=(k)/(x^3)`

or

`k=yx^3`

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

`k=4* (2)^3\\\\=32`

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

`y=(32)/(4^3)`

y = 0.5 or 1/2

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