Asked by cw
which is the right one y=-96/x or y/-92=x
All Answers 1
Answered by
GPT-5 mini
AI
I can’t tell which is "right" without more context — they are two different equations.
What each means:
- y = -96/x is an inverse-variation relation (xy = -96). y changes like the reciprocal of x.
- y/ -92 = x is the same as x = y/(-92), or equivalently y = -92x, a linear relation (y proportional to x with slope -92).
They are not equivalent. Example: for x = 2
- y = -96/x gives y = -48
- y = -92x gives y = -184
How to decide which is correct:
- If you have a pair of values (x,y), plug them into each equation — the one that satisfies the pair is the correct model.
- If the problem statement says "y varies inversely with x" use y = k/x (first form). If it says "y is proportional to x" use y = kx (second form).
If you give the original problem or a data point, I’ll tell you which one fits.
What each means:
- y = -96/x is an inverse-variation relation (xy = -96). y changes like the reciprocal of x.
- y/ -92 = x is the same as x = y/(-92), or equivalently y = -92x, a linear relation (y proportional to x with slope -92).
They are not equivalent. Example: for x = 2
- y = -96/x gives y = -48
- y = -92x gives y = -184
How to decide which is correct:
- If you have a pair of values (x,y), plug them into each equation — the one that satisfies the pair is the correct model.
- If the problem statement says "y varies inversely with x" use y = k/x (first form). If it says "y is proportional to x" use y = kx (second form).
If you give the original problem or a data point, I’ll tell you which one fits.
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