Three divers went scuba diving in the ocean for a couple of hours. The table shows how much oxygen (liters) they have left:

| Diver | Oxygen (liters) |
|--------|------------------|
| Alexis | 7.89 |
| Dante | 7.5 |
| Sofia | 7.625 |

Place the divers in order from least to greatest based on the number of liters left in their oxygen tanks:
A. Dante, Sofia, Alexis
B. Dante, Alexis, Sofia



Answer :

Sure, let's solve this step-by-step by comparing the oxygen levels of each diver and arranging them from least to greatest.

1. Convert the oxygen levels to decimal numbers for easy comparison:
- Alexis has [tex]\(\frac{71}{9}\)[/tex] liters of oxygen. In decimal form, this is approximately [tex]\(7.888888888888889\)[/tex] liters.
- Dante has [tex]\(7.5\)[/tex] liters of oxygen.
- Sofia has [tex]\(7 \frac{5}{8}\)[/tex] liters of oxygen. In decimal form, this is [tex]\(7 + \frac{5}{8} = 7.625\)[/tex] liters.

2. List the divers and their respective oxygen levels:
- Alexis: [tex]\(7.888888888888889\)[/tex] liters
- Dante: [tex]\(7.5\)[/tex] liters
- Sofia: [tex]\(7.625\)[/tex] liters

3. Sort these values from least to greatest:
- Dante: [tex]\(7.5\)[/tex] liters
- Sofia: [tex]\(7.625\)[/tex] liters
- Alexis: [tex]\(7.888888888888889\)[/tex] liters

4. Arrange the names in order based on the sorted oxygen levels:
- Dante: [tex]\(7.5\)[/tex] liters
- Sofia: [tex]\(7.625\)[/tex] liters
- Alexis: [tex]\(7.888888888888889\)[/tex] liters

Therefore, the order of the divers from least to greatest based on the amount of oxygen left in their tanks is:
- Dante
- Sofia
- Alexis