Use the table to answer the question.

Time (years) Bear Population
1 6
20 120
60 240
One biologist claimed that the bear population was proportionally related to the number of years after they were reintroduced into the wild. Based on the information in the table, would you agree? Explain your answer.

(1 point)
Responses

The bear population is not proportionally related to the number of years because the ratios are equivalent.
The bear population is not proportionally related to the number of years because the ratios are equivalent.

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.
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.

The bear population is proportionally related to the number of years because the ratios are equivalent.
The bear population is proportionally related to the number of years because the ratios are equivalent.

The bear population is proportionally related to the number of years because the ratios are not equivalent.
The bear population is proportionally related to the number of years because the ratios are not equivalent.
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1 answer

To determine whether the bear population is proportionally related to the number of years, we need to check the ratios of the bear population to the number of years.

We can calculate the ratios for each given time:

  1. For 1 year: \[ \text{Ratio} = \frac{6 \text{ bears}}{1 \text{ year}} = 6 \]

  2. For 20 years: \[ \text{Ratio} = \frac{120 \text{ bears}}{20 \text{ years}} = 6 \]

  3. For 60 years: \[ \text{Ratio} = \frac{240 \text{ bears}}{60 \text{ years}} = 4 \]

The ratios for the first two rows (1 year and 20 years) are both 6, while the ratio for the last row (60 years) is 4.

Since the ratios are not all the same, this indicates that the bear population is not proportionally related to the number of years.

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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