Proportional Relationships Quick Check

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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 ratios are equivalent.
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User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

The bear population is proportionally related to the number of years because the ratios are equivalent. This can be seen by calculating the ratio of bear population to years for each row:

1st row: 6/1 = 6
2nd row: 120/20 = 6
3rd row: 240/60 = 4

Since the ratios are all equal (6), it can be concluded that the bear population is proportionally related to the number of years.