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Suppose that a y varies inversely with x, and y=6 when x=8. What is an equation for the inverse variation?

Answer 1

Eli Assouline

The equation for the inverse variation is y = k/x, where k is a constant.

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Answer 2

Hazel Anglin

#y=1/x+47/8#

#y# varies inversely as #x#, therefore #y=1/x+c#, where #c# is an unknown constant

substitute #y# for 6 and #x# for 8: #6=1/8+c# #6-1/8=1/8+c-1/8# #((6xx8)-1)/8=c# #(48-1)/8=c# #47/8=c#

replace #c# with #47/8# in #y=1/x+c# answer: #y=1/x+47/8#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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