To determine the number of potted plants that Venya and Kari should be able to produce on Day 3, let's carefully examine the pattern of changes in their production chart:
[tex]\[
\begin{tabular}{|l|l|l|}
\hline
Day & Number of Bouquets Produced & Number of Potted Plants Produced \\
\hline
1 & 100 & 0 \\
\hline
2 & 75 & 25 \\
\hline
3 & 50 & ? \\
\hline
\end{tabular}
\][/tex]
We observe the following:
- On Day 1, they produced 100 bouquets and 0 potted plants.
- On Day 2, they produced 75 bouquets and 25 potted plants.
Let's identify the change from Day 1 to Day 2:
- The number of bouquets decreased from 100 to 75. This is a decrease of 100 - 75 = 25 bouquets.
- Correspondingly, the number of potted plants increased from 0 to 25. This is an increase of 25 potted plants.
Notice that the decrease in the number of bouquets (25) equates directly to the increase in potted plants (25).
Now, let's apply this pattern to Day 3:
- On Day 2, they produced 75 bouquets.
- On Day 3, they produced 50 bouquets.
The change from Day 2 to Day 3 in the number of bouquets is:
- 75 - 50 = 25 bouquets.
According to the observed pattern, for every decrease of 25 bouquets, the number of potted plants should increase by 25.
So, on Day 2, they had 25 potted plants. Following the same pattern, for Day 3:
- 25 potted plants (Day 2) + 25 (increase) = 50 potted plants.
Therefore, the number of potted plants that they should be able to produce on Day 3 is 50.
