Joseph, Colby, and Susie are training for a marathon. On Saturday, Joseph ran 149−−−√ miles, Colby ran 13 miles, and Susie ran the direct path from the library to her house. Which list shows the names in order from the person who ran the longest distance to the person who ran the shortest distance?(1 point)ResponsesColby, Susie, JosephColby, Susie, JosephSusie, Joseph, ColbySusie, Joseph, ColbyColby, Joseph, SusieColby, Joseph, SusieJoseph, Colby Susie

1 answer

To determine the order of names based on the distances run, we need to compare Joseph's distance (149−−−√ miles), Colby's distance (13 miles), and Susie's distance (which isn't specified numerically, but we will assume it is less than or equal to Colby's based on typical scenarios since it isn't mentioned).

  1. Joseph: \( \sqrt{149} \) miles.

    • Calculating \( \sqrt{149} \):
    • \( \sqrt{149} \approx 12.21 \) miles (since \( 12^2 = 144 \) and \( 13^2 = 169 \)).
  2. Colby: 13 miles.

  3. Susie: We don't have a numerical distance; we can't compare it directly but based on typical scenarios, we assume she ran less rather than more since nothing indicates otherwise.

Now we can summarize:

  • Joseph ran approximately 12.21 miles.
  • Colby ran 13 miles, which is longer than Joseph's distance.
  • Susie's distance is unknown but let's say it's not stated to be longer than Colby’s for these comparisons.

Based on this:

  • Colby (13 miles) ran the longest.
  • Joseph (approximately 12.21 miles) ran less than Colby.
  • Susie we will assume is less than Joseph's for comparison unless stated otherwise.

Therefore, the order from longest to shortest is:

Colby, Joseph, and Susie not being able to compare without a numerical value most likely would come last.

Thus, the final order would be: Colby, Joseph, Susie.

Looking at the provided responses, none seem to fit directly. However, if we stick with the assumption Susie's distance was the shortest, the order reflecting the names is:

Answer: Colby, Joseph, Susie.

But as noted, none of the provided options exactly matched the conclusion based on explicit calculations. There might have been an error in interpreting Susie's distance.

If Susie ran a distance that we don't know and the context indicates it could be longer or comparable to Joseph, we might need another clue. Based on what we worked out, finalizing on known values gives preference to Colby’s run as longest.