Question

If x and y vary inversely as each other and x =30 , find y when constant of variation=900

Answer 1

x=900/y

30 = 900/y

y = 900/30 = 30

Answer 2

Concept-

For direct variation, use the equation as y = k x , where k is the constant of proportionality. For inverse variation , use the equation as y = k/x , where  k is constant of proportionality . In  direct variation, as one number increases , so does the other also . It is also called direct proportion: they are the same thing .

Given-

It is given that x and y vary inversely as each other and the value of x is 30.

Find-

We have to find the value of y , when constant of variation is given as 900.

Solution-

It is given in the question  that, x and y vary inversely as each other.

∴ x y = k

Here, x = 30 and k = 900

∴ 30 y = 900

⇒ y = 900/30

⇒ y = 30

So, the value of y is 30 when the constant of variation is 900.

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