To determine how Nathan's hypothesis should lead to new investigations, we need to analyze the data he collected.
Nathan hypothesized that as the temperature of liquid water increases, the density would decrease because the volume would increase.
Here's a summary of the data:
```
Temperature (°C) | Density (g/cm³)
-----------------|-----------------
0.0 | 0.999841
1.0 | 0.999900
2.0 | 0.999941
3.0 | 0.999965
4.0 | 0.999973
5.0 | 0.999965
6.0 | 0.999941
```
From the table, we can observe that:
- The density of water increases from 0°C to 4°C.
- The density reaches its maximum at 4°C.
- After 4°C, the density of water begins to decrease.
Based on these observations, Nathan's hypothesis is not fully supported by the data. Instead, the data reveal a more complex relationship: the density of water increases to a maximum at 4°C and then decreases as the temperature continues to rise.
Given this information, the most logical step for Nathan's next investigation would be to understand why the density is greatest at 4°C, since this specific behavior does not align with his original hypothesis that density only decreases with increasing temperature.
Therefore, the correct choice is:
The data do not support his hypothesis, so he should investigate why the density is greatest at [tex]\(4^{\circ} C\)[/tex].
