Answer:
c = 9b/c
Step-by-step explanation:
If c varies directly with b and inversely with a, then this may be written mathematically as;
c = kb/a
Therefore;
k = ac/b
Hence in this case;
k = (6 × 33)/22
= k
Therefore; the equation connecting the variables is;
c = 9b/a
Answer:
c= 9b/a
Step-by-step explanation:
The statement "y varies directly as x," means that when x increases, y increases by the same factor. The statement "y varies inversely as x means that when x increases, ydecreases by the same factor.
Then, we can say that:
c ∝ b, thus c= kb and c = k/a.
Using both equations we have that:
c= kb/a
Given that a=6, b=22 and c=33 we have that:
33 = 22k/6
Solving for k:
k=9.
Then the equation that models the situation is:
c= 9b/a
