Question

If y is directly proportional to 1/x and x=2 when y=20,what is the value of x when y=125?

Answer 1

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Answer 2

Answer:

The value of x=0.32 when y=125.  

Step-by-step explanation:

Given : If y is directly proportional to 1/x and x=2 when y=20.

To find : What is the value of x when y=125?

Solution :

If y is directly proportional to $\frac{1}{x}$

i.e. $y\propto \frac{1}{x}$

or  $y=k\times \frac{1}{x}$

where, k is directly proportional.

Now, Substitute x=2 and y=20 as it satisfied the condition,

$20=k\times \frac{1}{2}$

$k=40$

Substitute in the expression,

$y=40\times \frac{1}{x}$

Now, put y=125

$125=40\times \frac{1}{x}$

$x=\frac{40}{125}$

$x=0.32$

Therefore, The value of x=0.32 when y=125.