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 proportionally related to the number of years because the ratios are equivalent.
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.
In order for a relationship to be proportionally related, the ratios between the variables should be equal. In this case, the ratios of bear population to years in the first two rows are not equal to the ratio in the last row. Therefore, the bear population is not proportionally related to the number of years.
To determine if the bear population is proportionally related to the number of years, we need to analyze the ratios in the table.
To find the ratio, we divide the bear population by the number of years. Let's calculate the ratios for each row in the table:
- Row 1: Ratio = 120 / 2 = 60
- Row 2: Ratio = 160 / 4 = 40
- Row 3: Ratio = 200 / 6 = 33.33 (rounded to 2 decimal places)
The ratios in the table are not equivalent, meaning they are not the same for each row. Therefore, we can conclude that the bear population is not proportionally related to the number of years.
So, 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."