Find the mathematical model for the following statement. Remember to use k as the constant of proportionality

Question

c varies directly as the cube of a and inversely to the 4^th power of b.

Answer 1

Obviously, the cube of "a" is a³ and the 4th power of "b" is b⁴

"varies directly" means c is proportional to a³

"varies inversely" means c is proportional to 1/b⁴

Let "k" be the constant of proportionality.

So c = ka³/b⁴