Question

Forensic Scientists use h = 61.4 + 2.3F to predict the height h in centimetres for a female whose thigh bone (femur) measures F cm. If the height of the female lies between 160 to 170 cm find the range of values for the length of the thigh bone?

Answer 1

Given h = 61.4 + 2.3 F 

Given h = 160 ⇒ 160 = 61.4 + 2.3 F 

⇒ 2.3 F = 160 – 61.4 = 98.6 

F = 98.6/2.3 = 42.87

Given h = 170 ⇒ 170 = 61.4 + 2.3 F 

⇒ 170 – 61.4 = 2.3 F 

2.3F = 108.6 

F = 108.6/2.3 = 47.23

So the ranges of values are 42.87 < x < 47.23