The value of y varies directly as the cube of x and y = 54 when x = 3. Find the equation that represents this relationship.

y = 2x³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality PropertiesVaries Directly: y = kxInversely Varies: yx = k

Step-by-step explanation:

Step 1: Define

"Varies Directly with cube of x":   y = kx³

y = 54

x = 3

Step 2: Find constant k

Substitute:                    54 = k(3)³Evaluate:                       54 = k(27)Isolate k:                       2 = kRewrite:                         k = 2

Step 3: Find general-varied equation

Define:                    y = kx³Substitute:              y = 2x³

And we have our final answer Grayson!!!

Ibelieve your answer would be 8.