Question

Write an equation describing the relationship of the given variables.

Answer 1

Answer:

$y = 2x^4$

Step-by-step explanation:

The given statement can be represented as:

$y\ \alpha\ x^4$

$x =3; y = 162$

Given

Represent this as an equation

$y\ \alpha\ x^4$

Convert variation to equation

$y = kx^4$

Where k is a constant of variation.

Substitute $x =3; y = 162$

$162 = k * 3^4$

$162 = k * 81$

Solve for k

$k = 162/81$

$k =2$

To get the equation, we have:

$y = kx^4$

Substitute 2 for k

$y = 2x^4$