Answered

Verya 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 & Number of Bouquets Produced & Number of Potted Plants Produced \\
\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 :

GinnyAnswer
To determine how many potted plants Verya and Kari should be able to produce on Day 3, we need to analyze the pattern of production from the given data.

### Step-by-Step Solution:

1. Identify the Pattern:

- 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

- Day 3:
- Number of bouquets produced: 50
- Number of potted plants produced: ?

2. Calculate the Changes from Day 1 to Day 2:

- Decrease in the number of bouquets from Day 1 to Day 2:
```
100 (Day 1) - 75 (Day 2) = 25 bouquets
```

- Increase in the number of potted plants from Day 1 to Day 2:
```
25 (Day 2) - 0 (Day 1) = 25 potted plants
```

This shows that a decrease of 25 bouquets corresponds to an increase of 25 potted plants.

3. Apply the Pattern to Day 3:

- Decrease in the number of bouquets from Day 2 to Day 3:
```
75 (Day 2) - 50 (Day 3) = 25 bouquets
```

Based on the observed pattern, the same amount of decrease in bouquets (25 bouquets) should correspond to the same amount of increase in potted plants (25 potted plants).

4. Determine the Number of Potted Plants Produced on Day 3:

- Number of potted plants on Day 2:
```
25 potted plants
```

- Increase in the number of potted plants from Day 2 to Day 3:
```
25 potted plants
```

- Total number of potted plants on Day 3:
```
25 (Day 2) + 25 = 50 potted plants
```

### Conclusion:

Therefore, based on their production pattern, Verya and Kari should be able to produce 50 potted plants on Day 3. So, the correct answer is:

50

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