14. Five marks example problems V

Forensic scientists can determine the height (in cms) of a person based on the length of their thigh bones. They usually use the function $h(b) = 2.47b + 54.10$ where $b$ is the thigh bone length.

 

(i) Verify the function $h$ is one-to-one or not.

 

 

(ii) Also find the height of a person if the length of his thigh bone is $50$ $cm$.

 

$cm$.

 

(iii) Find the length of the thigh bone if the height of a person is $147.96$ $cm$.

 

$cm$.