To determine the order from the shortest distance to the longest distance, we first need to find the approximate value of Joseph's distance, which is represented as \( \sqrt{125} \).
Calculating \( \sqrt{125} \):
\[ \sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \cdot \sqrt{5} = 5 \cdot \sqrt{5} \approx 5 \cdot 2.236 = 11.18 \text{ miles} \]
Now, let's compare the distances:
- Joseph: approximately 11.18 miles
- Colby: 13 miles
- Susie: Since we don't have the exact distance she ran, we cannot determine her distance without additional information. Assuming her distance is greater than both Joseph's and Colby's, we will not rank her against them.
Given the provided information, we can say:
- Joseph ran approximately 11.18 miles.
- Colby ran 13 miles.
- We don't know Susie's distance, but we need to place her according to the other two.
If we assume Susie's distance is more than 13 miles (which is a reasonable assumption given she took a direct path home and likely ran the same distance or more), the order from shortest to longest would be:
- Joseph (11.18 miles)
- Colby (13 miles)
- Susie (assuming she ran more than 13 miles)
Thus, the correct order of names from the shortest to the longest distance is:
Joseph, Colby, Susie.
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