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Math·Advanced Math·Nonlinear functions

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$$k(x)=-\frac{1}{2}{x}^2+8x+20$$

The function $k$ gives the estimated number of students in a school organization $x$ years after the organization was established, where $0\le x\le 10$. Which statement is the best interpretation of $k(4)=44$?

A

It is estimated there were 4 students in the school organization when it was established.

B

It is estimated there were 44 students in the school organization when it was established.

C

It is estimated there were 44 students in the school organization 4 years after it was established.

D

It is estimated there were 44 students in the school organization 10 years after it was established.