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If $y = 6$ when $x = 4$ when and $x$ and varies inversely with $y,$ varies inversely with then what will be the value of $y$ then what will be the value of when $x = 3$ when ?

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answer is D.

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Detailed Solution

It is given that

y = 6

when

x = 4

and

varies inversely with

y .

We know that the two variables are said to be inversely proportional if and only if they are directly proportional to one another's reciprocal. If

x and y

are two variables in inverse variations, then

x ∝ 1 y ⇒ x = k 1 y ⇒ x = k y,        where k is proportianality constant ⇒ x y = k .... (1)

Given that

y = 6

when

x = 4.

Therefore, from equation (1), we get

4 × 6 = k ⇒ k = 24

Find the value of

y

when

x = 3.

From equation (1),

x y = k ⇒ 3 × y = 24 ⇒ y = 243 ⇒ y = 8

Therefore, the value of

y = 8.

Hence, option (4) is correct.

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If y=6 when x=4 when and x and varies inversely with y, varies inversely with then what will be the value of y then what will be the value of when x=3 when ?

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If $y = 6$ when $x = 4$ when and $x$ and varies inversely with $y,$ varies inversely with then what will be the value of $y$ then what will be the value of when $x = 3$ when ?