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Verified Answer :

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:\(y=\frac{k}{x}\), where,

k= Constant of proportionality.

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

\(40=\frac{k}{5}\)

Let us multiply both sides of our equation by 5.

\(40\times 5=\frac{k}{5}\times 5\)

\(200=k\)

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