Question

.X is inversely proportional to square root of Y. When X=6, Y=4.
Find the value of y when x = 4.​

Answer 1

Answer:

3

Step-by-step explanation:

X is inversely proportional to square root of Y.

Therefore,

$\sqrt{y \:} = \binom{k}{x}$

$= > \sqrt{4 } = \binom{k}{6}$

$= > 2 = \binom{k}{6}$

$k = 12$

So, when x = 4 then y =

$y = \binom{k}{4}$

$y = 12 \div 4 = 3$

Answer :- y = 3

(k is the constant of proportionality)

Answer 2

Answer:

y = 9

Step-by-step explanation:

We have,

x ∝ (1/√y)

Now, we must put it into an equation to use, so for that let's add in a constant term 'k', to remove the Proportionality symbol.

Thus,

x ∝ (1/√y)

x = k(1/√y)

x × √y = k

x√y = k

Now, we are given,

When x = 6, y = 4

So,

x√y = k

6√4 = k

6 × 2 = k

k = 12

Since, we got the value of our constant term we can solve the Question further with it.

Now,

When x = 4, y = ?

Putting in the values,

x√y = k

(4)√y = 12

√y = 12/4

√y = 3

(√y)² = 3²

y = 9

Hence,

When x = 4, y = 9

Hope it helped and believing you understood it...All the best.