Joseph, Colby, and Susie are training for a marathon. On Saturday, Joseph ran 149−−−√

Question

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)
Responses

Colby, Joseph, Susie
Colby, Joseph, Susie

Colby, Susie, Joseph
Colby, Susie, Joseph

Joseph, Colby Susie
Joseph, Colby Susie

Susie, Joseph, Colby

Answer 1

To compare the distances run by Joseph, Colby, and Susie, we need to calculate Joseph's distance and compare it with Colby and Susie.

1. Colby's distance: 13 miles
2. Joseph's distance: \( \sqrt{149} \)

To find \( \sqrt{149} \):

• Compute \( \sqrt{149} \):
  • It's approximately \( 12.21 \) miles (since \( 12^2 = 144 \) and \( 13^2 = 169 \)).

3. Susie's distance: We don’t have a specific value, but it states that she ran from the library to her house, which we need to assume is less than or equal to the distances of Joseph and Colby unless specified.

Now let's compare them:

• Joseph: \( \sqrt{149} \approx 12.21 \) miles
• Colby: 13 miles

Now we have:

• Joseph: approximately 12.21 miles
• Colby: 13 miles

If we assume Susie's distance is also below 13 miles, Joseph has run the shortest distance; running longer than Joseph and shorter than Colby would most likely mean that Susie is still the shortest.

However, without the exact value for Susie's distance, we can deduce that:

• Colby ran the longest distance (13 miles).
• Joseph ran approximately 12.21 miles.
• Susie's distance is less than or equal to Joseph's.

Based on this reasoning, we can state the order from longest to shortest distance as:

Colby, Joseph, Susie

So the correct response is: Colby, Joseph, Susie