Question
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 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 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 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.
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.
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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.
To determine if the bear population is proportionally related to the number of years, we can compare the ratios of the bear population to the number of years.
In the first row, we have a bear population of 6 after 1 year. This gives us a ratio of 6:1.
In the second row, we have a bear population of 120 after 20 years. This gives us a ratio of 120:20, which simplifies to 6:1.
In the third row, we have a bear population of 240 after 60 years. This gives us a ratio of 240:60, which simplifies to 4:1.
Comparing these ratios, we can see that the ratios in the first two rows are equivalent, but the ratio in the last row is different. Therefore, the bear population is not proportionally related to the number of years.
The correct answer 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.