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प्रश्न
y varies directly as square root of x. When x = 16, y = 24. Find the constant of variation and equation of variation.
उत्तर
It is given that y varies directly as square root of x i.e. `y α sqrtx`
∴ \[y = k\sqrt{x}\] , where k is constant of variation
When x = 16, y = 24.
∴ \[\ 24 = k \times \sqrt{16}\]
⇒ 24 = 4k
⇒ k = 6
So, the equation of variation is \[y = 6\sqrt{x}\]
Thus, the constant of variation is 6 and the equation of variation is \[y = 6\sqrt{x}\].
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