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(Rewriting Rational Numbers MC)

Three divers went scuba diving in the ocean for a couple of hours. The table shows how much oxygen they had left in their oxygen tanks.

\begin{tabular}{|l|c|}
\hline Diver & Oxygen (liters) \\
\hline Alexis & [tex]$\frac{71}{9}$[/tex] \\
\hline Dante & 7.5 \\
\hline Sofia & [tex]$7 \frac{5}{8}$[/tex] \\
\hline
\end{tabular}

Place the divers in order from least to greatest based on the number of liters left in their oxygen tank.

A. Dante, Sofia, Alexis

B. Dante, Alexis, Sofia

C. Sofia, Alexis, Dante

D. Alexis, Sofia, Dante


Sagot :

To determine the correct order of the divers from least to greatest amount of oxygen left in their tanks, let's convert all the given oxygen amounts to decimal form for easier comparison.

1. Alexis:
[tex]\[ \frac{71}{9} = 7.888\ldots \approx 7.89 \][/tex]

2. Dante:
[tex]\[ 7.5 \][/tex]

3. Sofia:
[tex]\[ 7 \frac{5}{8} = 7 + \frac{5}{8} \][/tex]
[tex]\[ \frac{5}{8} = 0.625 \][/tex]
[tex]\[ 7 + 0.625 = 7.625 \][/tex]

Now that we have the decimal representations of the oxygen amounts:
- Alexis: 7.89
- Dante: 7.5
- Sofia: 7.625

Next, we compare these values to order them from least to greatest:
- Dante has 7.5 liters,
- Sofia has 7.625 liters,
- Alexis has 7.89 liters.

The correct order from least to greatest based on the amount of oxygen left is:
1. Dante (7.5 liters)
2. Sofia (7.625 liters)
3. Alexis (7.89 liters)

Thus, the final order is:
- Dante, Sofia, Alexis.

Therefore, the answer is:

1. Dante, Sofia, Alexis