Y is directly proportional to the positive square root of x.
When x = 9, y = 12.
Find y when x = 1/4

To remove proportionality sign, a proportionality constant is multiplied.

When x = 1/4 then y = 2.

Since, y is directly proportional to the positive square root of x.

So,      , where k is proportionality constant.

Since,  When x = 9, y = 12.

Thus, function become,  

To find y, when x = 1/4

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y = 2

Step-by-step explanation:

from the question which says that y is directly proportional to the positive square root of x can be expressed mathematically by saying

y ∝ √x

y = k√x where k is the constant of proportionality.

y = 12, x = 9 , k = ?

from

y = k√x

12 = k√9

12 =3k

divide both sides by the coefficient of k which is 3

12/3 = 3k/3

4 = k

therefore K = 3

now, to find the value of y when x = 1/4

from y = k√x

y = 4√1/4

y = 4 × 1/2

y = 2

therefore the value of y when x = 1/4  in this expression y = k√x  is 2

step-by-step explanation: