Representations of linear functions
Height and bone lengths

Forensic anthropologists (specialists who work for the police and use scientific techniques to solve crimes) can estimate a person's height from the lengths of various bones that are found. The functions they use in this work were determined based on studies in which thousands of people have been measured. The table below provides correspondence rules that express the approximate dependence of a person's height, in centimeters, on the length of several bones.


Use the Representation of functions tool to represent functions describing the dependence of a person's height on various bone lengths. Note the scale you chose for you graphs and explain your choice.
Answer the following questions using one or more of the representations; explain which representation you used and why.

Which is longer, the humerus or the radius? List the four bones according to their size.
  • A forensic lab received several bones that are part of a woman's skeleton. The bones were measured as follows: femur: 42.5 cm; tibia: 34.8 cm; humerus: 31.0 cm. Estimate the woman's height.
  • Bob and Sarah are the same height. Which of them has longer bones?
  • Jennifer's height is 1.55 meters. Estimate the lengths of the various bones in her body.
  • Jim's humerus is 33 cm long. Estimate the length of his radius.
  • Construct functions that will enable you to compute the length of a man's and a woman's fibulae when you know their height.



  • Determining a person's height from bone measurements

    x represents the length of the bone in centimeters. The correspondence rule gives an approximation for the person's height in centimeters. For most people, the error is 5 centimeters at most.

    femur tibia humerus radius
    women:
    men:






    At the gas station
    Different prices
    Cab fares
    Changing grades
    Fuel efficiency
    Postal rates
    Inverse machines
    Graphs describing motion
    Trucks
    Medical prescriptions
    Height and bone lengths
    Dividing a budget
    Electric bill
    Constructing functions

    Exercise 1
    Exercise 2
    Exercise 3
    Exercise 4
    Exercise 5