Let's consider the information provided step-by-step:
1. Day 1:
- Number of Bouquets Produced: 100
- Number of Potted Plants Produced: 0
2. Day 2:
- Number of Bouquets Produced: 75
- Number of Potted Plants Produced: 25
From Day 1 to Day 2, the number of bouquets produced decreased by:
[tex]\[ 100 - 75 = 25 \][/tex]
In the same period, the number of potted plants produced increased to 25. Hence, there is a correlation suggesting that a decrease of 25 bouquets corresponds to producing 25 potted plants.
Next, consider:
3. Day 3:
- Number of Bouquets Produced: 50
- Number of Potted Plants Produced: ?
From Day 2 to Day 3, the number of bouquets produced decreased again by:
[tex]\[ 75 - 50 = 25 \][/tex]
Since there is a linear relationship inferred from the initial data, a further decrease of 25 bouquets should similarly correspond to an increase of 25 potted plants.
Hence, if on Day 2 they produced 25 potted plants, on Day 3 they should produce:
[tex]\[ 25 (previous potted plants) + 25 (additional increase) = 50 \][/tex]
Therefore, the number of potted plants they should be able to produce on Day 3 is:
[tex]\[ \boxed{50} \][/tex]
