Question

Forensic scientists can determine the height (in cms) of a person based on the length of their thigh bone. They usually do so using the function h(b) = 2.47b + 54.10, where b is the length of the thigh bone.
Find the length of the thigh bone if the height of a person is 147.96 cms

• A. 48
• B. 36
• C. 38
• D. 46

Answer 1

The correct option is C 38

The height of a person is 147.96 cms, then
h(b) = 147.96
$\because$ h(b) = 2.47b + 54.10
$\therefore$ 2.47b + 54.10 = 147.96
$\Rightarrow$ 2.47b = 93.86
$\Rightarrow \text{b}=\frac{93.86}{2.47}=38$
Therefore, the length of the thigh bone is 38 cms.