Answer :

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]

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