To determine how many teams of paper Landscape Elementary uses each week, we can start by dividing the total number of teams by the three-week period.
They use 14 teams every three weeks:
\[ \text{Teams per week} = \frac{14 \text{ teams}}{3 \text{ weeks}} \approx 4.67 \text{ teams per week} \]
Now, rounding this to the nearest hundred:
When rounding 4.67 to the nearest hundred, it remains 0, since it is much less than 100.
Therefore, the final answer is 0 teams of paper per week when rounded to the nearest hundred.