Joseph, Colby, and Susie are training for a marathon. On Saturday, Joseph ran 125−−−√

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 shortest distance to the person who ran the longest distance?

(1 point)
Responses

Colby, Joseph, Susie
Colby, Joseph, Susie

Susie, Joseph, Colby
Susie, Joseph, Colby

Joseph, Colby, Susie
Joseph, Colby, Susie

Susie, Colby, Joseph

1 answer

To determine the order of distance run by Joseph, Colby, and Susie, we need to compare their distances.

  1. Joseph ran: \(\sqrt{125}\) miles. We can calculate \(\sqrt{125}\) as: \[ \sqrt{125} = \sqrt{25 \times 5} = 5\sqrt{5} \approx 5 \times 2.236 \approx 11.18 \text{ miles}. \]

  2. Colby ran: 13 miles.

  3. Susie ran: The distance is not specified, but we need to compare it to 11.18 miles (Joseph's distance) and 13 miles (Colby’s distance).

Assuming Susie ran a distance that we don't know, but we are determining the relative distances based on what we have:

  • If Susie ran more than 13 miles, she is the longest.
  • If Susie ran less than 11.18 miles, she is the shortest.
  • If Susie ran between those distances, her order will change based on that value.

Given the presented order options:

  • If Susie ran less than 11.18 miles: Order will be Susie, Joseph, Colby.
  • If Susie ran exactly 11.18 miles: Order will be Joseph, Colby, Susie (but based on assumption, she probably did not run less than Joseph's distance).
  • If Susie ran between 11.18 miles and 13 miles: Order will be Joseph, Susie, Colby.
  • If Susie ran more than 13 miles: Order will be Joseph, Colby, Susie.

Without specific information on Susie's distance, we must assume that Colby ran the longest of the three at 13 miles or look for an idea that fits best given no direct data for Susie's run.

Since we have to choose, we'll at least consider the case that Joseph is below the Colby threshold of 13 miles.

Given all these, we'd choose Susie, Joseph, Colby only if she ran less than Joseph.

If we assume Susie ran more than Joseph and less than Colby, we can conclude Joseph could be the shortest.

So, without exact data for Susie's distance, the most sensible guesses in line might be: Answer: Susie, Colby, Joseph based on an assumption Susie ran near or over 11.18 but less than 13.

Without additional details, the best can only be approximated.