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Assume that y varies inversely with x and that y is 2 when x is 4. Which of the following is the equation of inverse variation?

Answer 1

Jace Anderson

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

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Answer 2

Hazel Anglin

#y=8/x#

The question state: "Which of the following...." The is nothing shown after the question so ' the following ' part of the question is missing.

Given:#" "y" " alpha" " 1/x" The "alpha" means - proportional to"#

Let #k# be the coefficient of proportionality

#y=kxx 1/x = k/x#

Given that at #y=2# the value of #x# is 4

# 2=k/4#

Multiply both sides by 4

#8=k#

So the final equation is:

#y=8/x#

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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.