Answer:
q = 4
Step-by-step explanation:
given p and q vary inversely then the equation relating them is
p = [tex]\frac{k}{q}[/tex] ← k is the constant of variation
to find k use the condition p = 8 when q = 6 , that is
8 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )
48 = k
p = [tex]\frac{48}{q}[/tex] ← equation of variation
when p = 12 , then
12 = [tex]\frac{48}{q}[/tex] ( multiply both sides by q )
12q = 48 ( divide both sides by 12 )
q = 4
