Suppose j and k are inversely proportional. If j = 16 when k = 21, find the value of j when k = 14 .
Inversely proportional means basically that the product of the numerator and denominator will always be the same. So if the fraction is \(\frac{16}{21} = \frac{j}{k}\), the product of \(16\times21 = 336\). We are trying to find \(j\) if \(k = 14\). We have \(\frac{16}{21} = \frac{j}{14}\). You can solve this by doing \(336\) divided by \(14\), which gives you \(24\). \(j = 24\).
- Daisy