Answer:
[tex]p=96[/tex]
Step-by-step explanation:
Because p is inversely proportional to the square of q, we have that [tex]p(q^2)=k[/tex] for some constant k. We know that [tex]p=6[/tex] when [tex]q=8[/tex], so we have that [tex]k=(6)(8)^2=6*64=384[/tex].
We want to know what p is when q is equal to 2, so we have that [tex]p(2)^2=384[/tex], which gives [tex]4p=384[/tex], which gives [tex]\boxed{p=96}[/tex].
Note: [tex]\frac{96}{6}=(\frac{8}{2})^2[/tex]. Coincidence?
