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if y varies inversely as and y =2when x=8find A.constant of variation________ B.variation equation________C.y when x=16_____ pki help plssse​

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Problem:

If y varies inversely as x and y = 2 when x = 8 find

A. constant of variation → k = 16

B. variation equation → y = 16/x

C. y when x = 16 → y = 1

Solution:

y = k/x

2 = k/8

2(8) = k

k = 16 → constant of variation

y = 16/x → equation of variation

y when x = 16

y = k/x

y = 16/16

y = 1

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