Assume that y varies inversely with x. If y = 3.75 when x = 9, what is x when y = 6.75?

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Answer 1 · 2016-09-03T10:38:52

#x=5#

If #y# varies inversely as #x#, this means #yprop1/x# i.e. #y=k×1/x#, where #k# is a constant.

Hence, #xy=k#

Now as #y=3.75#, when #x=9#,

#k=9×3.75=33.75#

And so if #y=6.75#,

#x=k/y=33.75/6.75#

= #3375/675#

= #(3×3×3×5×5×5)/(3×3×3×5×5)#

= #5#