[tex]y=6x^4[/tex]
1) Considering that y varies directly as the fourth power of x. So we can write:
[tex]y=kx^4[/tex]
2) But notice, we were told when x=1, y=6 so we can write out:
[tex]\begin{gathered} y=kx^4^{} \\ 6=k(1)^4 \\ k=6 \\ \end{gathered}[/tex]
Note that now, we know the constant "k" of proportionality. Then we can write the following equation:
[tex]y=6x^4[/tex]
Thus, this is the answer.
