The equation that models the given situation is:
c = 9*(b/a).
We know that c varies directly with b and inversely with a.
Then we can write:
c = k*(b/a)
Where k is a constant.
Now, we know that when a = 6, b = 22, we have c = 33.
Replacing that we get:
33 = k*(22/6)
Now we can solve this for k.
k = 33*(6/22) = 9
Then we can write the equation as:
c = 9*(b/a).
If you want to learn more about direct relations:
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