To order the distances from least to greatest, we first need to convert all the values in the table to the same format (either all decimals or all fractions).
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Mindy's distance: \(5.5\) (which is \(5 \frac{1}{2}\) in mixed number form but already in decimal form)
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Aaron's distance: \( \frac{23}{4} = 5.75 \) (since \( 23 \div 4 = 5.75\))
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Tanya's distance: \( \sqrt{28} \)
To evaluate \( \sqrt{28} \): \[ \sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2 \sqrt{7} \] To find a decimal approximation, use \( \sqrt{7} \approx 2.64575 \): \[ 2 \sqrt{7} \approx 2 \times 2.64575 \approx 5.2915 \]
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Harold's distance: \(5 \frac{1}{2} = 5.5\)
Now we have:
- Mindy: \(5.5\)
- Aaron: \(5.75\)
- Tanya: \(5.2915\)
- Harold: \(5.5\)
Now we can order these from least to greatest:
- Tanya: \( \sqrt{28} \approx 5.2915 \)
- Mindy: \(5.5\)
- Harold: \(5.5\)
- Aaron: \(5.75\)
In summary, the order from least to greatest is: Tanya < Mindy = Harold < Aaron