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Four college roommates go to the doctor for their annual check up. All of the roommates compare their weights to the previous year.
Bao lost 
4kg over the year.
Shanta lost 
2kg over the year.
Ruth gained 
3kg over the year.
Morty gained 
2kg over the year.
Which roommate had the greatest change in weight?
Choose 1 answer:
(A) Bao
(B) Shanta
(C) Ruth
(D) Morty

Four college roommates go to the doctor for their annual check up. All of the roommates compare their weights to the previous year.\newlineBao lost 4 kg 4 \mathrm{~kg} over the year.\newlineShanta lost 2 kg 2 \mathrm{~kg} over the year.\newlineRuth gained 3 kg 3 \mathrm{~kg} over the year.\newlineMorty gained 2 kg 2 \mathrm{~kg} over the year.\newlineWhich roommate had the greatest change in weight?\newlineChoose 11 answer:\newline(A) Bao\newline(B) Shanta\newline(C) Ruth\newline(D) Morty

Full solution

Q. Four college roommates go to the doctor for their annual check up. All of the roommates compare their weights to the previous year.\newlineBao lost 4 kg 4 \mathrm{~kg} over the year.\newlineShanta lost 2 kg 2 \mathrm{~kg} over the year.\newlineRuth gained 3 kg 3 \mathrm{~kg} over the year.\newlineMorty gained 2 kg 2 \mathrm{~kg} over the year.\newlineWhich roommate had the greatest change in weight?\newlineChoose 11 answer:\newline(A) Bao\newline(B) Shanta\newline(C) Ruth\newline(D) Morty
  1. Calculate Bao's Change: Calculate the absolute change in weight for Bao.\newlineBao lost 4kg4\,\text{kg} over the year.\newlineAbsolute change for Bao = 4kg=4kg| -4\,\text{kg} | = 4\,\text{kg}
  2. Calculate Shanta's Change: Calculate the absolute change in weight for Shanta.\newlineShanta lost 2kg2\,\text{kg} over the year.\newlineAbsolute change for Shanta = 2kg=2kg| -2\,\text{kg} | = 2\,\text{kg}
  3. Calculate Ruth's Change: Calculate the absolute change in weight for Ruth.\newlineRuth gained 3kg3\,\text{kg} over the year.\newlineAbsolute change for Ruth = 3kg=3kg| 3\,\text{kg} | = 3\,\text{kg}
  4. Calculate Morty's Change: Calculate the absolute change in weight for Morty.\newlineMorty gained 2kg2\,\text{kg} over the year.\newlineAbsolute change for Morty = 2kg=2kg| 2\,\text{kg} | = 2\,\text{kg}
  5. Compare Changes: Compare the absolute changes in weight to determine the greatest change.\newlineBao's change = 4kg4\,\text{kg}\newlineShanta's change = 2kg2\,\text{kg}\newlineRuth's change = 3kg3\,\text{kg}\newlineMorty's change = 2kg2\,\text{kg}\newlineThe greatest change is 4kg4\,\text{kg}, which is Bao's change.

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