Question
Use the following information. The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations$$y=0.386 x-19.20 \quad \text { Female }$$$$y=0.442 x-29.37 \quad \text { Male }$$where $y$ is the length of the femur in centimeters and $x$ is the height of the adult in centimeters. (See figure.)An anthropologist discovers a femur belonging to an adult human female. The bone is 43 centimetersslong. Estimate the height of the female.
Step 1
We substitute this value into the equation for females, which is $y=0.386x-19.20$. So, we get $43=0.386x-19.20$. Show more…
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Use the following information. The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations $$y=0.386 x-19.20 \quad \text { Female }$$ $$y=0.442 x-29.37 \quad \text { Male }$$ where $y$ is the length of the femur in centimeters and $x$ is the height of the adult in centimeters. (See figure.) From the foot bones of an adult human male, an anthropologist estimates that the person's height was 175 centimeters. A few feet away from the site where the foot bones were discovered, the anthropologist discovers a male adult femur that is 48 centimeters long. Is it likely that both the foot bones and the thigh bone came from the same person?
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Linear Equations and Problem Solving
Use the following information. The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations $y=0.432 x-10.44$ Female $y=0.449 x-12.15 \quad$ Male where $y$ is the length of the femur in inches and $x$ is the height of the adult in inches (see figure). An anthropologist discovers a femur belonging to an adult human female. The bone is 16 inches long. Estimate the height of the female.
Use the following information. The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations $y=0.432 x-10.44$ Female $y=0.449 x-12.15 \quad$ Male where $y$ is the length of the femur in inches and $x$ is the height of the adult in inches (see figure). From the foot bones of an adult human male, an anthropologist estimates that the person's height was 69 inches. A few feet away from the site where the foot bones were discovered, the anthropologist discovers a male adult femur that is 19 inches long. Is it likely that both the foot bones and the thigh bone came from the same person?
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