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How do you write inverse variation equations given y=7 when x=4?

Answer 1

The inverse variation equation can be written as y = k/x, where k is a constant. To find the value of k, substitute the given values of x and y into the equation and solve for k. In this case, when x = 4 and y = 7, the equation becomes 7 = k/4. Multiply both sides of the equation by 4 to isolate k, which gives k = 28. Therefore, the inverse variation equation is y = 28/x.

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Answer 2

Hazel Anglin

If #y# is inversely proportional to #x#, then #y=k/x# for some constant #k#. If #y=7# when #x=4#, then #k=x * y=28# so the inverse variation equation you are after is #y=28/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.