If y varies inversely as x and y = 40 when x = 5, then the constant isA.1/8
The answer is b. 200
If y varies inversely as x, then: y = c/x
y = 40
x = 5
y = c/x
c = y * x
c = 40 * 5
c = 200
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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