A container has a shape such that, when filled with water at a constant flow rate, the distance $D$ from the water surface to the table top, in centimeter, increases in relation to time $T$, in minute, according to a function of the type $$D = k + \operatorname{tg}[p(T + m)],$$ where the parameters $k$, $p$, and $m$ are real numbers, for $T$ varying from 0 to 4 minutes, as illustrated in the figure, in which the vertical asymptotes of the tangent function used in the definition of $D$ are presented. The algebraic expression that represents the relationship between $D$ and $T$ is (A) $D = 2.5 + \operatorname{tg}\left[30\left(T - \dfrac{5 - 2\pi}{2}\right)\right]$ (B) $D = 4 + \operatorname{tg}\left[30\left(T + \dfrac{5}{2}\right)\right]$ (C) $D = 4 + \operatorname{tg}\left[2.5\left(T + \dfrac{5 + 2\pi}{2}\right)\right]$ (D) $D = 30 + \operatorname{tg}\left[\dfrac{1}{2}(T - 5)\right]$ (E) $D = 30 + \operatorname{tg}\left[\dfrac{1}{2}\left(T - \dfrac{5}{2}\right)\right]$
A container has a shape such that, when filled with water at a constant flow rate, the distance $D$ from the water surface to the table top, in centimeter, increases in relation to time $T$, in minute, according to a function of the type
$$D = k + \operatorname{tg}[p(T + m)],$$
where the parameters $k$, $p$, and $m$ are real numbers, for $T$ varying from 0 to 4 minutes, as illustrated in the figure, in which the vertical asymptotes of the tangent function used in the definition of $D$ are presented.
The algebraic expression that represents the relationship between $D$ and $T$ is\\
(A) $D = 2.5 + \operatorname{tg}\left[30\left(T - \dfrac{5 - 2\pi}{2}\right)\right]$\\
(B) $D = 4 + \operatorname{tg}\left[30\left(T + \dfrac{5}{2}\right)\right]$\\
(C) $D = 4 + \operatorname{tg}\left[2.5\left(T + \dfrac{5 + 2\pi}{2}\right)\right]$\\
(D) $D = 30 + \operatorname{tg}\left[\dfrac{1}{2}(T - 5)\right]$\\
(E) $D = 30 + \operatorname{tg}\left[\dfrac{1}{2}\left(T - \dfrac{5}{2}\right)\right]$