Proportional Relationships Quick Check
2 of 52 of 5 Items
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 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.
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 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 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.
To determine whether the bear population is proportionally related to the number of years, we need to compare the ratios of the population to the years. In a proportional relationship, the ratios should be equivalent.
To find the ratios, we divide the population by the number of years:
- For the first row: 6/1 = 6
- For the second row: 120/20 = 6
- For the third row: 240/60 = 4
In a proportional relationship, the ratios would be equal. However, in this case, the ratio in the last row (4) is not equal to the ratios in the first two rows (6).
Therefore, we can conclude that the bear population is not proportionally related to the number of years based on the information in the table.