Suppose p and q are inversely proportional. If p=25 when q= 6, find the value of p when q=15.
We compute $25 \cdot \frac{6}{15}=\boxed{10}$.
Sorry, I forgot the LaTeX. We multiplied \(p\) by \(\frac{6}{15}\), so we multiply \(q\) by \(\frac{15}{6}\), to get \(\boxed{10}\)
If p and q are inversely proportional, then there is a constant k such that: p = k / q
If p = 25 then q = 6 ---> 25 = k / 6 ---> 25 · 6 = k ---> k = 150
For this problem, the formula is: p = 150 / q
Snce q = 15 ---> p = 150 / 15 = 10
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