C varies directly as the cube of a and inversely as the 4th power of B | MathCelebrity Forum

C varies directly as the cube of a and inversely as the 4th power of B

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C varies directly as the cube of a and inversely as the 4th power of B

The cube of a means we raise a to the 3rd power:
a^3

The 4th power of B means we raise b to the 4th power:
b^4

Varies directly means there exists a constant k such that:
C = ka^3

Also, varies inversely means we divide by the 4th power of B
C = ka^3/b^4

Varies directly as means we multiply by the constant k.
Varies inversely means we divide k by the term which has inverse variation.

 
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