Question

if x and y are inversely proportion and x1 = 12 , y1 = 8, and x2 = 48, then find y2 ?

Answer 1

Answer:

y=32

Step-by-step explanation:

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Answer 2

Working out:

First of all, What is inverse proportion? So, two quantities, x and y (Let) would be inversely proportional, if an increase in the value of x leads to a proportional decrease in the value of y and vice versa.

• xy = constant

Here, we can write for corresponding values of x1, y1, x2 and y2 i.e. x1y1 = x2y2

So, GiveN:

• x1 = 12
• y1 = 8
• x2 = 48

And we have to find y2 which we can done by the above relation of quantities which are inversely proportional.

⇛ x1y1 = x2y2

Plug in the values:

⇛ 12 × 8 = 48 × y2

⇛ 96 = 48 × y2

Flipping it,

⇛ 48 × y2 = 96

⇛ y2 = 2

So, the required value of y2 is:

$\huge{ \therefore{ \boxed{ \red{ \sf{2}}}}}$

And we are done !!