**If y varies inversely as x and y = 40 when x = 5, then the constant is**A.1/8

b.200

c.8

The answer is b. 200

If y varies inversely as x, then: y = c/x

We know:

y = 40

x = 5

y = c/x

c = y * x

c = 40 * 5

c = 200

**Answer:**

** b. **200

**Step-by-step explanation:**

We have been given that y varies inversely as x.

Since we know that equation that represents the inversely proportional relation between y and x is:, where,

k= Constant of proportionality.

Upon substituting our given values in above equation we will get,

Let us multiply both sides of our equation by 5.

**Therefore, constant of proportionality for our given quantities is 200 and option b is the correct choice.**

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