Question

y varies directly as square root of x. When x = 16, y = 24. Find the constant
variation and equation of variation
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Answer 1

Answer:

Please find the attachment

Answer 2

Answer:

Given:

y varies directly as square root of x.

So, y ∝ √4x

y = k √x … (i) where, k is the constant of variation.

When x = 16, y = 24.

Substituting, x = 16 and y = 24 in (i), we get

y = k√x

24 = k√16

24 = 4k

k =244

k = 6

Substitute the value of k = 6 back in (i), we get

y = k√x

y = 6√x

This is the equation of variation.

∴ The constant of variation is 6 and the equation of variation is y = 6√x .