Hello I've been stuck on this for awhile if you can help that would be appreciated!(Zoom in to see it clearer) thank you

Answer:
The correct option is A
The polynomial that represents the total number of people is:
[tex]P=47.7t^2+678.5t+17,667.4[/tex]Explanation:
Given that the number of males, M, and number of females, F are modeled as follow:
[tex]\begin{gathered} M=19.7t^2+310.5t+7539.6 \\ F=28t^2+368t+10127.8 \end{gathered}[/tex]The polynomial that represents the total number of people is the polynomial from the addition of the number of males and females.
[tex]\begin{gathered} P=(19.7+28)t^2+(310.5+368)t+(7539.6+10127.8) \\ \\ =47.7t^2+678.5t+17,667.4 \end{gathered}[/tex]