Question

If y varies directly as the square root of x and y=3, x=3. calculate y when x=64​

Answer 1

y = 64√3

Explanation:

Step(i):-

Given that the 'y' varies directly as √x

⇒ y∝ √x

⇒ y = k√x

Put y=3 and x=3

3 = k ×√3

√3 k = √3×√3

After cancellation '√3' on both sides, we get

k = √3

Step(ii):-

Given that x=64 and k = √3

We have a function y = k√x ..(i)

substitute x =64 and k = √3 in equation (i)

y = √3 × 64

y = 64√3