Venya and Kari own a flower shop that specializes in custom bouquets. Wanting to expand into selling potted plants, they create a production possibility chart to assess whether the potted plants are a good idea. Study their chart:

\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}

How many potted plants should they be able to produce on Day 3?

A. 25
B. 30
C. 50
D. 75



Answer :

To figure out how many potted plants Venya and Kari should be able to produce on Day 3, we need to observe the pattern of production changes over the given days. Let's look at the data provided:

- Day 1:
- Number of Bouquets Produced: 100
- Number of Potted Plants Produced: 0

- Day 2:
- Number of Bouquets Produced: 75
- Number of Potted Plants Produced: 25

We can see the change from Day 1 to Day 2:
- The number of bouquets produced decreases from 100 to 75. The decrease is [tex]\(100 - 75 = 25\)[/tex] bouquets.
- The number of potted plants produced increases from 0 to 25. The increase is [tex]\(25 - 0 = 25\)[/tex] plants.

Now, based on the pattern:
- Each time the number of bouquets decreases by 25, the number of potted plants increases by 25.

Applying this pattern to the data:
- From Day 2 to Day 3, the number of bouquets produced decreases further by 25 (from 75 to 50).
- Hence, the number of potted plants should increase by an additional 25.

Since on Day 2 we had 25 potted plants, on Day 3 it should be:
[tex]\[ 25 + 25 = 50 \][/tex]

Therefore, Venya and Kari should be able to produce 50 potted plants on Day 3.

So, the correct answer is:
[tex]\[ \boxed{50} \][/tex]