Let's carefully analyze the data in the table provided, focusing on determining the validity of each claim Phoebe might infer:
[tex]\[
\begin{tabular}{|l|l|l|l|l|}
\hline & Location 1 & Location 2 & Location 3 & Location 4 \\
\hline Insects & 13 & 20 & 18 & 15 \\
\hline Crawfish & 8 & 15 & 20 & 22 \\
\hline Fish & 3 & 11 & 13 & 12 \\
\hline Other & 5 & 2 & 8 & 4 \\
\hline
\end{tabular}
\][/tex]
1. Analyzing total food sources for Location 1 and Location 4:
- Location 1 total food source:
[tex]\(13 \text{ (Insects)} + 8 \text{ (Crawfish)} + 3 \text{ (Fish)} + 5 \text{ (Other)} = 29\)[/tex]
- Location 4 total food source:
[tex]\(15 \text{ (Insects)} + 22 \text{ (Crawfish)} + 12 \text{ (Fish)} + 4 \text{ (Other)} = 53\)[/tex]
Since 29 is less than 53, Location 1 does not have a larger food source than Location 4. Therefore, the statement "Location 1 has a larger food source than Location 4" is false.
2. Comparing sunlight between Location 2 and Location 3:
No data on sunlight is provided, so we cannot verify or infer anything about sunlight from the given table. Thus, we should ignore the statement "Location 3 gets more sunlight than location 2."
3. Analyzing Crawfish preference for food sources:
By examining the Crawfish populations at each location:
- Location 1: 8
- Location 2: 15
- Location 3: 20
- Location 4: 22
The highest Crawfish population is at Location 4, indicating that Crawfish prefer the food source at Location 4. Therefore, the statement "Crawfish prefer the food source at location 4" is true.
4. Analyzing Fish preference for food sources:
By examining the Fish populations at each location:
- Location 1: 3
- Location 2: 11
- Location 3: 13
- Location 4: 12
The highest Fish population is at Location 3, not Location 1. Therefore, the statement "Fish prefer the food source at location 1" is false.
To summarize:
- Location 1 does not have a larger food source than Location 4. (False)
- Crawfish prefer the food source at Location 4. (True)
Thus, Phoebe can infer the following from the data:
1. "Location 1 has a larger food source than location 4" is False.
2. "Crawfish prefer the food source at location 4" is True.
