If x varies inversely as y and x = 4

Question:

 If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is _______.

Solution:

If x varies inversely as y, then

x×y = k

4×6 = k

k=24

Now, if x = 3, then y is;

y = k/x = 24/3 = 8

38. In direct proportion, a1/b1 = a2/b2

a1/b1 = a2/b2 = k

39. In case of inverse proportion, a2/a1= b2/b1

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