Let's carefully analyze the production pattern from Venya and Kari's chart:
1. Day 1: They produce 100 bouquets and 0 potted plants.
2. Day 2: They produce 75 bouquets and 25 potted plants.
First, let's observe the changes from Day 1 to Day 2:
- The number of bouquets decreased from 100 to 75, which is a decrease of 25 bouquets.
- The number of potted plants increased from 0 to 25, which is an increase of 25 potted plants.
The changes can be summarized as:
[tex]\[
\Delta \text{Bouquets} = -25
\][/tex]
[tex]\[
\Delta \text{Potted Plants} = +25
\][/tex]
Now, we use this pattern to predict the output for Day 3:
- The number of bouquets is expected to decrease by another 25 (the same decrement as observed from Day 1 to Day 2).
[tex]\[
\text{Bouquets on Day 3} = 75 - 25 = 50
\][/tex]
Similarly, the number of potted plants is expected to increase by another 25 (the same increment as observed from Day 1 to Day 2):
[tex]\[
\text{Potted Plants on Day 3} = 25 + 25 = 50
\][/tex]
Therefore, the number of potted plants they should be able to produce on Day 3 is [tex]\(\boxed{50}\)[/tex].
