Six random samples were taken each year for three years. The table shows the inferred population for each type of fish for each year.
| Year | Population Trout | Population Catfish | Population Bass |
|---|---|---|---|
| 1 | 77 | 57 | 58 |
| 2 | 83 | 76 | 40 |
| 3 | 92 | 80 | 31 |
Which conclusion is supported by the data from the multiple-year samples? Check all that apply.
A. The number of bass increased over time.
B. The number of bass decreased over time.
C. The number of catfish increased over time.
D. The number of catfish remained the same.
E. The fish population decreased over time.
Answer (2)
Bass population decreased over time.
Catfish population increased over time.
Total fish population did not decrease over time.
Therefore, the correct answers are: The number of bass decreased over time, and The number of catfish increased over time.
Explanation
Analyze the problem and data We are given a table showing the population of Trout, Catfish, and Bass over three years. We need to analyze the data to determine which conclusions are supported.
Analyze the bass population Let's analyze the bass population. In Year 1, the bass population was 58. In Year 2, it was 40. In Year 3, it was 31. The bass population decreased from 58 to 40 and then to 31. Therefore, the number of bass decreased over time.
Analyze the catfish population Now, let's analyze the catfish population. In Year 1, the catfish population was 57. In Year 2, it was 76. In Year 3, it was 80. The catfish population increased from 57 to 76 and then to 80. Therefore, the number of catfish increased over time.
Analyze the total fish population To determine if the fish population decreased over time, we need to calculate the total fish population for each year. Year 1: Trout + Catfish + Bass = 77 + 57 + 58 = 192 Year 2: Trout + Catfish + Bass = 83 + 76 + 40 = 199 Year 3: Trout + Catfish + Bass = 92 + 80 + 31 = 203 The total fish population increased from 192 to 199 and then to 203. Therefore, the fish population did not decrease over time.
Conclusion Based on our analysis, the number of bass decreased over time, and the number of catfish increased over time. The total fish population did not decrease over time.
Examples
Understanding population trends is crucial in environmental science. For example, if you're managing a lake's ecosystem, knowing whether a fish population is increasing or decreasing helps you make informed decisions about fishing regulations, habitat restoration, and predator control. By tracking these trends over time, you can ensure the long-term health and balance of the aquatic environment.
The analysis of the fish population data shows that the number of bass decreased over time while the number of catfish increased. Additionally, the total fish population increased from 192 in Year 1 to 203 in Year 3. Therefore, the supported conclusions are that the number of bass decreased and that the number of catfish increased over time.
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