Question

Write an equation describing the relationship of the given variables. One factor will go within each submission box.

Answer 1

`y=6x^4`

1) Considering that y varies directly as the fourth power of x. So we can write:

`y=kx^4`

2) But notice, we were told when x=1, y=6 so we can write out:

`\begin{gathered} y=kx^4^{} \\ 6=k(1)^4 \\ k=6 \\ \end{gathered}`

Note that now, we know the constant "k" of proportionality. Then we can write the following equation:

`y=6x^4`

Thus, this is the answer.