a.)if y varies inversly as x,and if y =9 when x=2 ,find y when x=3
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Since, Y is inversely proportinal to X.
Hence, Y= k/X --------(i)
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Now, put initial values y=9 and x=2, to find out the value of k.
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9= k/2
k= 9×2
k = 18 -------(ii)
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From i and ii, we get,
Y= 18/X.
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Now, to find the new value of Y, put X=3 and you will have your answer.
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Y= 18/3
Y= 6.
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