Answer:
If the temperature decreases by 17° per week, then in one week, the temperature would decrease by 17°, and in two weeks, it would decrease by 2 × 17° = 34°. Therefore, the temperature on January 19th, which is one week after January 12th, can be found by subtracting 17° from 13°:
Temperature on January 19th = 13° - 17° = -4°
Therefore, the temperature on January 19th is -4°, which is option D.