To determine how many potted plants Venya and Kari should be able to produce on Day 3, we can analyze the data and identify the pattern in their production chart.
Here is the chart again for reference:
[tex]\[
\begin{tabular}{|l|l|l|}
\hline
Day & \begin{tabular}{l}
Number of \\
Bouquets \\
Produced
\end{tabular} & \begin{tabular}{l}
Number of \\
Potted Plants \\
Produced
\end{tabular} \\
\hline
1 & 100 & 0 \\
\hline
2 & 75 & 25 \\
\hline
3 & 50 & ? \\
\hline
\end{tabular}
\][/tex]
We need to identify the relationship between the number of bouquets and the number of potted plants produced over the days.
Step-by-Step Analysis:
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
3. Day 3:
- Number of Bouquets Produced: 50
- Number of Potted Plants Produced: ?
Observing the Patterns:
- 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.
- From Day 2 to Day 3:
- The number of bouquets decreased from 75 to 50, which is again a decrease of 25 bouquets.
Following this pattern, for each decrease of 25 bouquets, the number of potted plants increases by 25.
Thus, by following the same pattern:
- If the number of bouquets produced on Day 3 is 50 (a decrease of 25 from Day 2),
- The number of potted plants produced should be 25 more than the number produced on Day 2.
[tex]\[
25 \text{ (Day 2 potted plants)} + 25 = 50
\][/tex]
So, on Day 3, they should be able to produce 50 potted plants.
Therefore, the correct answer is:
- 50
