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Standard X
Mathematics
Ratio
y varies dire...
Question
y varies directly as square root of x. When x = 16, y = 24. Find the constant of variation and equation of variation.
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Solution
It is given that y varies directly as square root of x i.e.
y
∝
x
.
∴
y
=
k
x
, where k is constant of variation
When x = 16, y = 24.
∴
24
=
k
×
16
⇒ 24 = 4k
⇒ k = 6
So, the equation of variation is
y
=
6
x
.
Thus, the constant of variation is 6 and the equation of variation is
y
=
6
x
.
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