Final answer:
Bao had the greatest change in weight with a loss of 4 kg, after comparing the absolute values of all the roommates' weight changes.
Step-by-step explanation:
To determine which roommate had the greatest change in weight, we need to compare the absolute values of their weight changes, ignoring whether the weight was lost or gained.
To determine which roommate had the greatest change in weight, we need to compare the absolute value of the weight changes for each roommate. Bao lost 4 kg, Shanta lost 2 kg, Ruth gained 3 kg, and Morty gained 2 kg. The greatest change in weight is Bao's loss of 4 kg, which is greater than any of the other changes. Therefore, Bao had the greatest change in weight.
The changes are as follows:
- Bao lost 4 kg.
- Shanta lost 2 kg.
- Ruth gained 3 kg.
- Morty gained 2 kg.
Comparing these values, we find that Bao had the greatest change in weight with a 4 kg loss.