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
