To determine if the bear population is proportionally related to the number of years after they were reintroduced into the wild, we need to examine the ratios of the bear population to the number of years and see if those ratios are consistent.
From the table, we can calculate the ratio of the bear population to the number of years for each entry:
1. For year 1, the ratio is:
Bear Population (6) / Years (1) = 6 / 1 = 6
2. For year 20, the ratio is:
Bear Population (120) / Years (20) = 120 / 20 = 6
3. For year 60, the ratio is:
Bear Population (240) / Years (60) = 240 / 60 = 4
Now comparing these ratios:
- The ratio for year 1 is 6
- The ratio for year 20 is 6
- The ratio for year 60 is 4
The ratios for years 1 and 20 are consistent (both are 6), but the ratio for year 60 (which is 4) is not the same as for years 1 and 20. For the bear population to be proportionally related to the number of years, all the ratios should be the same.
Therefore, based on the information in the table, we can conclude:
The bear population is not proportionally related to the number of years because the ratio in the last row (year 60) is not equal to the ratios in the first two rows (years 1 and 20).
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 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 not proportionally related to the number of years because the ratios are equivalent.
1 answer
1 answer