A certain population of beavers builds dams across a stream to catch fish. Some years, the stream carries more water than in other years. The data below was collected by scientists studying the stream over the last four years.

Year Stream Depth
(meters) Number of
Beaver Dams Number of
Beavers
1 1.20 6 17
2 0.92 4 12
3 1.45 7 21
4 0.78 2 9

If the depth of the stream next year is 0.52 meters, what will be the most likely result?
A.
The average size of a beaver dam will decrease.
B.
The size of the beaver population will increase.
C.
The size of the beaver population will decrease.
D.
The average size of a beaver dam will increase.

1 answer

To analyze the potential outcomes based on the data provided, we can observe the relationship between stream depth, the number of beaver dams, and the beaver population over the years.

Here is the data again for clarity:

  • Year 1: Stream Depth 1.20 m, Dams 6, Beavers 17
  • Year 2: Stream Depth 0.92 m, Dams 4, Beavers 12
  • Year 3: Stream Depth 1.45 m, Dams 7, Beavers 21
  • Year 4: Stream Depth 0.78 m, Dams 2, Beavers 9

From the data, we can make some observations:

  1. Higher stream depth appears to correlate with a greater number of beaver dams and a larger beaver population. For instance, Year 3, with the highest depth (1.45 m), shows the most dams (7) and the highest population (21 beavers).

  2. Lower stream depths seem to correlate with fewer dams and a smaller population. Year 4, with a depth of 0.78 m, has only 2 dams and 9 beavers.

Given that the depth of the stream is expected to be 0.52 meters next year, which is significantly lower than any of the previous years, it suggests that conditions may not be favorable for beavers.

Thus, the most likely results could be inferred as follows:

  • The average size of a beaver dam will likely decrease (A) because lower stream depth often results in fewer or smaller dams.
  • The size of the beaver population will likely decrease (C), as many beavers may not survive in lower water conditions or may move to better environments.

While both A and C are likely reasonable outcomes, the most strongly supported prediction is that the size of the beaver population will decrease due to poor habitat conditions caused by the low stream depth.

Therefore, the most likely result is:

C. The size of the beaver population will decrease.