Part C: Analyze and Extend

Jared recorded the results of his experiment in this table.
\begin{tabular}{|l|l|l|l|l|l|}
\hline
Glass & 0 minutes & 15 minutes & 30 minutes & 45 minutes & 60 minutes \\
\hline
A & 0 cm & 0 cm & 0 cm & 0 cm & 0 cm \\
\hline
B & 0 cm & 2 cm & 4 cm & 5 cm & 6 cm \\
\hline
C & 0 cm & 0 cm & 0 cm & 0 cm & 0 cm \\
\hline
D & 0 cm & 0 cm & 0.5 cm & 1 cm & 1 cm \\
\hline
E & 0 cm & 2 cm & 4 cm & 5 cm & 6 cm \\
\hline
\end{tabular}

Question 1:
How did Jared's results match your predictions?



Answer :

To answer this question, let's review Jared's recorded results over the given time intervals for each glass, and match them with any predictions or expected outcomes we might have had.

### Results Summary
- Glass A: 0 cm at all time intervals (0 min, 15 min, 30 min, 45 min, 60 min).
- Glass B: Increased consistently (0 cm, 2 cm, 4 cm, 5 cm, 6 cm).
- Glass C: 0 cm at all time intervals.
- Glass D: Gradual increase (0 cm, 0 cm, 0.5 cm, 1 cm, 1 cm).
- Glass E: Same increase as Glass B (0 cm, 2 cm, 4 cm, 5 cm, 6 cm).

### Analysis
- Glass A: Remained consistent with no change over the duration. If the prediction was that Glass A would show no measurable change, then this matches.
- Glass B: Showed a steady increase from 0 cm to 6 cm. If we predicted that Glass B would show a gradual increase, this matches well.
- Glass C: Like Glass A, there was no measurable change over the period. A prediction of no change here would be accurate.
- Glass D: Showed a small but noticeable increase, first not changing, then increasing to 0.5 cm at 30 minutes, and 1 cm at both 45 and 60 minutes. A prediction of a slow change would match this.
- Glass E: Had the same behavior as Glass B, showing a gradual and consistent increase. If the prediction was similar to that of Glass B, it matched perfectly.

### Conclusion
The recorded results match predictions in the following ways:
- Glasses A and C showed no change, which is consistent if the prediction was no change.
- Glasses B and E increased steadily and similarly, which matches if a gradual increase was expected.
- Glass D exhibited a small and gradual increase, confirming a slow rise prediction.

If there were any specific numerical or qualitative predictions made beforehand, each of the glasses' behaviors should be directly compared to those for an exact match evaluation.