Answered

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Paramecium Contractile Vacuole Contractions } \\
\hline \begin{tabular}{c}
Salt concentration outside \\
paramecium
\end{tabular} & \begin{tabular}{c}
Contractions per \\
minute
\end{tabular} \\
\hline Very high & 2 \\
\hline High & 8 \\
\hline Medium & 15 \\
\hline Low & 22 \\
\hline Very low & 30 \\
\hline
\end{tabular}

Which statement correctly describes the bars on a bar graph representing the data?

A. The graph has five bars of equal height.
B. The bars range from tallest for very high concentration to shortest for very low concentration.
C. The bar for very low concentration is twice the height of the bar for medium concentration.
D. The bar for very high concentration is five times the height of the bar for very low concentration.



Answer :

Let's analyze each statement in the context of the provided data on paramecium contractile vacuole contractions:

### Given Data:
- Very high concentration: 2 contractions per minute
- High concentration: 8 contractions per minute
- Medium concentration: 15 contractions per minute
- Low concentration: 22 contractions per minute
- Very low concentration: 30 contractions per minute

### Statements to Evaluate:

1. The graph has five bars of equal height.
- To evaluate this statement, we look at the given contractions per minute for each concentration.
- The values are [tex]\(2, 8, 15, 22, 30\)[/tex]. Clearly, these are different values.
- Therefore, the statement that the bars are of equal height is false.

2. The bars range from tallest for very high concentration to shortest for very low concentration.
- This statement suggests that the tallest bar represents the very high concentration, and the shortest represents the very low concentration.
- The given data shows that the very high concentration has 2 contractions per minute, while the very low concentration has 30 contractions per minute.
- Therefore, the tallest bar should represent 30 contractions per minute (very low concentration), and the shortest bar should represent 2 contractions per minute (very high concentration). The statement implies the opposite.
- Hence, this statement is false.

3. The bar for very low concentration is twice the height of the bar for medium concentration.
- For this statement to be true, the contractions for very low concentration should be twice that of the medium concentration.
- The contractions per minute for very low concentration are 30, and for medium concentration, they are 15.
- [tex]\( 30 \text{ (very low) } = 2 \times 15 \text{ (medium) } \)[/tex]
- This statement is true since 30 is indeed twice 15.

4. The bar for very high concentration is five times the height of the bar for very low concentration.
- For this statement to be true, the contractions for very high concentration should be five times that of the very low concentration.
- The contractions per minute for very high concentration are 2, and for very low concentration, they are 30.
- [tex]\( 2 \text{ (very high) } \)[/tex] is not [tex]\( 5 \times 30 \text{ (very low) }\)[/tex]
- This statement is false because 2 is not equal to 150.

### Summary of Evaluations:
- The first statement is false.
- The second statement is false.
- The third statement is true.
- The fourth statement is false.

Thus, the correct answers describing the bar graph are:
- The graph has five bars of equal height: [tex]\(0\)[/tex] (False)
- The bars range from tallest for very high concentration to shortest for very low concentration: [tex]\(0\)[/tex] (False)
- The bar for very low concentration is twice the height of the bar for medium concentration: [tex]\(1\)[/tex] (True)
- The bar for very high concentration is five times the height of the bar for very low concentration: [tex]\(0\)[/tex] (False)

The numerical result representing the truth value of each statement is [tex]\( (0, 0, 1, 0) \)[/tex].