To determine whether the bear population is proportionally related to the number of years, we can calculate the ratios of the bear population to the time (years) for each entry in the table.
We can calculate the ratios:
-
For the first entry (1 year, 6 bears):
Ratio = \( \frac{6}{1} = 6 \) -
For the second entry (20 years, 120 bears):
Ratio = \( \frac{120}{20} = 6 \) -
For the third entry (60 years, 240 bears):
Ratio = \( \frac{240}{60} = 4 \)
Now, let's analyze the results:
- The first and second entries have the same ratio (6), but the third entry has a different ratio (4).
Since the ratios are not all equivalent, we conclude that the bear population is not proportionally related to the number of years after they were reintroduced.
Therefore, the correct response is: The bear population is not proportionally related to the number of years because the ratio in the last row is not equal to the ratios in the first two rows.
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