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Anthropologists can predict the height of a human based on the length of their femur. The relationship between the human's height in centimeters, H, and length of the femur in centimeters, f, can be modeled by the given equation. H=2.72 f+42.12 One anthropologist found the femurs of two different people. One femur measured 22 centimeters and the other femur measured 23 centimeters. What is the difference in their heights? Choose 1 answer: (A) 1 centimeter (B) 2.72 centimeters (C) 27.2 centimeters (D) 42.12 centimeters

Anthropologists can predict the height of a human based on the length of their femur. The relationship between the human's height in centimeters, H H , and length of the femur in centimeters, f f , can be modeled by the given equation.\newlineH=2.72f+42.12 H=2.72 f+42.12 \newlineOne anthropologist found the femurs of two different people. One femur measured 2222 centimeters and the other femur measured 2323 centimeters. What is the difference in their heights?\newlineChoose 11 answer:\newline(A) 11 centimeter\newline(B) 22.7272 centimeters\newline(C) 2727.22 centimeters\newline(D) 4242.1212 centimeters

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Q. Anthropologists can predict the height of a human based on the length of their femur. The relationship between the human's height in centimeters, H H , and length of the femur in centimeters, f f , can be modeled by the given equation.\newlineH=2.72f+42.12 H=2.72 f+42.12 \newlineOne anthropologist found the femurs of two different people. One femur measured 2222 centimeters and the other femur measured 2323 centimeters. What is the difference in their heights?\newlineChoose 11 answer:\newline(A) 11 centimeter\newline(B) 22.7272 centimeters\newline(C) 2727.22 centimeters\newline(D) 4242.1212 centimeters
  1. Calculate Height First Femur: Use the given equation to calculate the height for the first femur.\newlineThe equation is H=2.72f+42.12H = 2.72f + 42.12, where HH is the height in centimeters and ff is the length of the femur in centimeters.\newlineFor the first femur, which measures 2222 centimeters, we substitute ff with 2222.\newlineH=2.72(22)+42.12H = 2.72(22) + 42.12
  2. Calculate Height Second Femur: Perform the calculation for the first femur.\newlineH=2.72(22)+42.12H = 2.72(22) + 42.12\newlineH=59.84+42.12H = 59.84 + 42.12\newlineH=101.96H = 101.96 centimeters
  3. Calculate Height Difference: Use the given equation to calculate the height for the second femur. For the second femur, which measures 2323 centimeters, we substitute ff with 2323. H=2.72(23)+42.12H = 2.72(23) + 42.12
  4. Calculate Height Difference: Use the given equation to calculate the height for the second femur.\newlineFor the second femur, which measures 2323 centimeters, we substitute ff with 2323.\newlineH=2.72(23)+42.12H = 2.72(23) + 42.12 Perform the calculation for the second femur.\newlineH=2.72(23)+42.12H = 2.72(23) + 42.12\newlineH=62.56+42.12H = 62.56 + 42.12\newlineH=104.68H = 104.68 centimeters
  5. Calculate Height Difference: Use the given equation to calculate the height for the second femur.\newlineFor the second femur, which measures 2323 centimeters, we substitute ff with 2323.\newlineH=2.72(23)+42.12H = 2.72(23) + 42.12 Perform the calculation for the second femur.\newlineH=2.72(23)+42.12H = 2.72(23) + 42.12\newlineH=62.56+42.12H = 62.56 + 42.12\newlineH=104.68H = 104.68 centimeters Calculate the difference in height between the two individuals.\newlineDifference = Height of second person - Height of first person\newlineDifference = 104.68 cm−101.96 cm104.68 \, \text{cm} - 101.96 \, \text{cm}\newlineDifference = 2.722.72 centimeters

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