Question

4. An anthropologist finds a femur that is 53.7 cm long. How tall was that person?

Answer 1

Given the function

$y=1.86634x\text{ + 82.2911}$

to be the relationship between the height and femur length. Where

$\begin{gathered} x\Rightarrow femur\text{ length}(cm) \\ y\Rightarrow height\text{ (cm)} \end{gathered}$

Thus, when the femur length is 53.7 cm, the height is evaluated as

$\begin{gathered} x=53.7 \\ \text{substitute for x, the value of 53.7 in the above equation.} \\ y=1.86634(53.7)\text{ + 82.2911} \\ y=100.222458+82.2911 \\ y=182.513558 \\ \cong y=182.5 \\ \end{gathered}$

Hence, the height of the person is 182.5 cm