Write an equation describing the relationship of the given variables. y varies directly as the fourth power of x and when x=3, y=162.

y =

Step-by-step explanation:

The given statement can be represented as:

Given

Represent this as an equation

Convert variation to equation

Where k is a constant of variation.

Substitute

Solve for k

To get the equation, we have:

Substitute 2 for k

The equation describing the relationship of the given variables is

If y varies directly to the fourth power of x, this can be expressed as:

Given that x = 3 and y = 162, the equation becomes;

Substitute the value of k into the expression above to have:

Hence the equation describing the relationship of the given variables is

Learn more on direct variation here: link

yes

step-by-step explanation: