If a varies inversely as b, and a = ⅓ when b = 12, find a when b = -8.
Equation of variation:
Constant of variation:
b.
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Verified answer
Inverse Variation
If a varies inversely as b, and a = ⅓ when b = 12, find a when b = -8.
Equation of variation:![\tt \Large \blue{\bold{a = \frac{k}{b}}} \tt \Large \blue{\bold{a = \frac{k}{b}}}](https://tex.z-dn.net/?f=%5Ctt%20%5CLarge%20%5Cblue%7B%5Cbold%7Ba%20%3D%20%5Cfrac%7Bk%7D%7Bb%7D%7D%7D)
Constant of variation:![\tt \Large \green{\bold{k = ab}} \tt \Large \green{\bold{k = ab}}](https://tex.z-dn.net/?f=%5Ctt%20%5CLarge%20%5Cgreen%7B%5Cbold%7Bk%20%3D%20ab%7D%7D)
Solve for k.
Find a when b = -8.
Answer:
b.![\tt \Large \purple{\bold{-\frac{1}{2}}} \tt \Large \purple{\bold{-\frac{1}{2}}}](https://tex.z-dn.net/?f=%5Ctt%20%5CLarge%20%5Cpurple%7B%5Cbold%7B-%5Cfrac%7B1%7D%7B2%7D%7D%7D)
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