Schaum earns (x4 + 16x) every month. His wife earns (3x4 + 11x) every month. x represents the number of days they work in a month. What is the total earnings in a month?

ANSWER:
1st option: 4x^4 + 27x
STEP-BY-STEP EXPLANATION:
We have that the earnings are given by the following functions:
[tex]\begin{gathered} S=x^4+16x \\ \\ W=3x^4+11x \end{gathered}[/tex]If we add we get the following:
[tex]\begin{gathered} S+W=x^4+16x+3x^4+11x \\ \\ S+W=x^4+3x^4+16x+11x \\ \\ S+W=4x^4+27x \end{gathered}[/tex]Therefore, the correct answer is the 1st option: 4x^4 + 27x