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The function $T(x)=\frac{20,000-6.5x}{1,000}$ gives the estimated air temperature $T(x)$, in degrees Celsius (${}^{\circ }\text{C}$), surrounding a hot air balloon at an altitude of $x$ meters. If the estimated air temperature surrounding the hot air balloon is $15^{\circ }\text{C}$, which of the following is closest to the altitude, in meters, of the hot air balloon?

A

$20$

B

$769$

C

$1,333$

D

$5,385$