Question

a varibale x varies directly as the cube of another varibale if x= 4 and y= 3 then find x when y= 54​

Answer 1

Refer to the above attachment for the correct answer, do like this method only, to ur sum, it will obviously help u....

#MichAditi✨✌️

Answer 2

Given:

A variable x varies directly as the cube o another variable y.

if x = 4 then y = 3

To Find

the value of y when x = 54

Solution:

It is given that variable x varies directly as the cube of another variable y

So, x ∝ y³

⇒ x = ky³ ..(i)      [ k ≠ 0 ]

It is given that y= 3 when x= 4

 So,

       ⇒ y= kx³

       ⇒ 3= k(4)³       [from (i)]

      ⇒ 64k= 3

            k= 64/3

 So, now equation (i) becomes

  ⇒ y= 64/3 x³

   ⇒ x³= 6.75y ..(ii)

now when y= 54

from equation (ii)

⇒ x³ = 6.7 × 54

⇒ x³ = 361.8

⇒ x = 7.1

Therefore, x= 7.1 when y= 54.