Question

Forensic scientists use the lengths of certain bones to calculate the height of a person. Two bones often used are the tibia $(t),$ the bone from the ankle to the knee, and the femur $(r),$ the bone from the knee to the hip socket. A person's height ( $h$ ) in centimeters is determined from the lengths of these bones by using functions defined by the following formulas. For men: $h(r)=69.09+2.24 r$ or $h(t)=81.69+2.39 t$ For women: $h(r)=61.41+2.32 r$ or $h(t)=72.57+2.53 t$ (a) Find the height of a man with a femur measuring $56 \mathrm{cm}$. (b) Find the height of a man with a tibia measuring $40 \mathrm{cm} .$ (c) Find the height of a woman with a femur measuring $50 \mathrm{cm} .$ (d) Find the height of a woman with a tibia measuring $36 \mathrm{cm}$.

          Forensic scientists use the lengths of certain bones to calculate the height of a person. Two bones often used are the tibia $(t),$ the bone from the ankle to the knee, and the femur $(r),$ the bone from the knee to the hip socket. A person's height ( $h$ ) in centimeters is determined from the lengths of these bones by using functions defined by the following formulas.
For men: $h(r)=69.09+2.24 r$ or $h(t)=81.69+2.39 t$
For women: $h(r)=61.41+2.32 r$ or $h(t)=72.57+2.53 t$
(a) Find the height of a man with a femur measuring $56 \mathrm{cm}$.
(b) Find the height of a man with a tibia measuring $40 \mathrm{cm} .$
(c) Find the height of a woman with a femur measuring $50 \mathrm{cm} .$
(d) Find the height of a woman with a tibia measuring $36 \mathrm{cm}$.

Added by Soledad R.

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