Answer
y varies directly as the nth power of x can be modeled by the equation $y\ =\ k{{x}^{n}}$
Work Step by Step
The variable y varies directly as the nth power of x, means $y\ \propto \ {{x}^{n}}$ , which implies that when the variable x increases, y also increases or when x decreases, y also decreases.
Using the constant of proportionality k , we have
$y\ =\ k{{x}^{n}}$
Hence, the variable y varies directly as the nth power of x can be written as $y\ =\ k{{x}^{n}}$.
