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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:

[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]

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

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

Sagot :

GinnyAnswer
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].
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