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A student conducted an experiment with two identical fish tanks, Tank 1 and Tank 2. About [tex][tex]$20\text{ mL}$[/tex][/tex] of water purifier was added to Tank 1, and [tex][tex]$10\text{ mL}$[/tex][/tex] of water purifier was added to Tank 2. Both tanks were heated to [tex][tex]$88^{\circ}\text{ F}$[/tex][/tex]. The water purity of each tank was tested every day in particles per liter. The purity was recorded over a period of 5 weeks in the table shown below.

\begin{tabular}{|c|c|c|}
\hline Week & Water Purity of Tank 1 & Water Purity of Tank 2 \\
\hline 1 & 12.6 & 12.6 \\
\hline 2 & 13.7 & 13.9 \\
\hline 3 & 14.3 & 14.4 \\
\hline 4 & 15.7 & 15.8 \\
\hline 5 & 17.6 & 17.6 \\
\hline
\end{tabular}

Based on the table, which of these conclusions is correct?

A. Fish need [tex][tex]$10\text{ mL}$[/tex][/tex] of water purifier to survive.
B. More purifier is needed to keep heated water clean.
C. Water purifier can help a fish survive longer.
D. Water purifier keeps fish tanks clearer for longer.



Answer :

GinnyAnswer
To determine which conclusion is correct based on the data provided, let's analyze the trends shown in the water purity over the 5 weeks in both tanks.

### Step 1: Observing Purity Trends
First, we note the water purity measurements for Tank 1 and Tank 2 over the 5 weeks:
- Tank 1 water purity: 12.6, 13.7, 14.3, 15.7, 17.6 particles per liter
- Tank 2 water purity: 12.6, 13.9, 14.4, 15.8, 17.6 particles per liter

### Step 2: Determine Trends
We observe that the water purity is increasing in both tanks over time:
- For Tank 1, the purity starts at 12.6 particles per liter in Week 1 and increases to 17.6 particles per liter by Week 5.
- For Tank 2, the purity starts at 12.6 particles per liter in Week 1 and similarly increases to 17.6 particles per liter by Week 5.

### Step 3: Analyzing the Conclusions
Given these trends, we now evaluate each of the proposed conclusions:

1. Fish need [tex]$10 mL$[/tex] of water purifier to survive.
- This conclusion cannot be determined from the data. The data records purity levels, not information about fish survival.

2. More purifier is needed to keep heated water clean.
- This is not clearly demonstrated by the data. Both tanks start with identical purity levels and increase similarly over time despite Tank 1 having more purifier.

3. Water purifier can help a fish survive longer.
- The data does not link water purity levels directly to fish survival duration. Thus, this conclusion cannot be confirmed based on the provided data.

4. Water purifier keeps fish tanks clearer for longer.
- Given the observed trend that water purity improves over time in both tanks, which have been treated with water purifier, the data supports the idea that water purifier helps in keeping tanks clearer.

### Conclusion
Based on the trends in the data, we can determine that the evidence supports the idea that water purifier keeps fish tanks clearer for longer. Thus, the correct conclusion is:

Water purifier keeps fish tanks clearer for longer.

Therefore, the answer is true for both trends in Tank 1 and Tank 2, and the most supported conclusion is number 4.

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