Read this word problem.Camilla was swimming along the bottom of her backyard pool at a depth of 6 feet. Then, she pushed off the bottom and rose 4 feet. What is Camilla's position now relative to the surface of the pool?To solve the problem, Jordan added −6+4 and came up with an answer of 2 feet. Is Jordan correct? Why or why not?Choices:(A)Yes, Jordan is correct.(B)No. The answer should have been −2 feet, not 2 feet. She is underwater, so her position relative to the surface of the pool is negative.(C)No. The answer should have been −10 feet, because the sum of the absolute values of −6 and 4 is 10. The answer has to be negative because the sign of the number with the larger absolute value is negative.
Q. Read this word problem.Camilla was swimming along the bottom of her backyard pool at a depth of 6 feet. Then, she pushed off the bottom and rose 4 feet. What is Camilla's position now relative to the surface of the pool?To solve the problem, Jordan added −6+4 and came up with an answer of 2 feet. Is Jordan correct? Why or why not?Choices:(A)Yes, Jordan is correct.(B)No. The answer should have been −2 feet, not 2 feet. She is underwater, so her position relative to the surface of the pool is negative.(C)No. The answer should have been −10 feet, because the sum of the absolute values of −6 and 4 is 10. The answer has to be negative because the sign of the number with the larger absolute value is negative.
Initial Depth Calculation: Camilla starts at a depth of 6 feet, which is −6 feet relative to the surface. She then rises 4 feet, so we add −6 and 4.−6+4=−2
Correcting Jordan's Answer: Jordan's answer was 2 feet, but since Camilla is still underwater, the correct answer should be negative. Therefore, Jordan's answer is incorrect.
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