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Question

y varies inversely with x. If y = 30 when x = 12, find
(1) y when x = 15
(2) x when y = 18

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Solution

Since, y varies inversely with x.

y1xy=kx, where k is proportioanlity constant.

We have, y = 30 and x = 12,

30=k12k=30×12k=360So, y=360x ...(i)

(1) We have, x = 15

By using equation (i), we get

y=36015=24

(2) We have, y = 18

By using equation (i), we get

18=360xx=36018=20

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