Answer:
c = [tex]\frac{9b}{a}[/tex]
Step-by-step explanation:
Given that c varies directly with b and inversely with a then the equation relating them is
c = [tex]\frac{kb}{a}[/tex] ← k is the constant of variation
To find k use the condition a = 6, b = 22, c = 33, that is
33 = [tex]\frac{22k}{6}[/tex] ( multiply both sides by 6 )
198 = 22k ( divide both sides by 22 )
9 = k , thus
c = [tex]\frac{9b}{a}[/tex] ← equation of variation
