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Question:
A value (given as a in this problem) that is inversely proportional to another value (given as b-4) is written as (where k is a constant of proportionality): \(a= \frac{\mathrm{k} }{\mathrm{(b-4)}}\)
substituting with given values of a and b: \(8=\frac{\mathrm{k} }{\mathrm{(22-4)}} \)
\(8(22−4)=k\)
\(k=144\)
\(a= \frac{\mathrm{144} }{\mathrm{(b-4)}}\)
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