# If y varies inversely as x and y = 40 when x = 5, then the constant is?

We will use the concept of direct and inversely proportional to find the value of constant.

## Answer: If y varies inversely as x and y = 40 when x = 5, then the constant is 200.

Let us see how we will use the direct and inversely proportional concept to find the value of constant.

**Explanation**:

It is given that y varies inversely with x.

Hence, mathematically it can be written as y ∝ (1 / x)

Therefore, y = k / x (where k is the constant of proportionality)

Now, substituting y = 40 and x = 5 in the above equation we get,

40 = k / 5 or k = 200