Question

If y is directly proportional to 1/x and x=2 when y=20 ,what is the value of x when y=4?

Don't sapam....
Give a relevent ans​

Answer 1

$\sf\underline\red{Given:}$

• y is directly proportional to 1/x and x=2 when y=20
• And Y=4 in second case

$\sf\underline\orange{To\:find:-}$

• The value of x if y =4

$\sf\underline\blue{Solution:}$

Here,

$\sf\frac{1}{x}$=2 when y=20

And,

x=? when y=4

We get to know that This a case of $\sf\pink{Direct\: Variation}$.

Therefore,

A/Q

$\sf\frac{1}{2}\20$=$\sf\frac{x}{4}$

$\frac{1}{2}×20$=$\sf\frac{x}{4}$

$\frac{10}{1}=$$\sf\frac{x}{4}$

$\sf{10×4=x}$

$\sf{40=x}$

$\sf\fbox\purple{x=40}$

Therefore,the value of $\sf\green{x=40}$ when y=4.

Hope it's helpful!