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Suppose p and q are inversely proportional. If p=25 when q= 6, find the value of p when q=15.

 #1
avatar+75 
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We compute $25 \cdot \frac{6}{15}=\boxed{10}$.

 Aug 5, 2020
 #2
avatar+75 
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Sorry, I forgot the LaTeX. We multiplied \(p\) by \(\frac{6}{15}\), so we multiply \(q\) by \(\frac{15}{6}\), to get \(\boxed{10}\)

 Aug 5, 2020
 #3
avatar+21955 
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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

 Aug 5, 2020

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