Rate of change of linear functions Growing hair People's hair grows at different rates. The points in the tool below represent the length of hair of four youths who measured it at regular time intervals for several months. Use the tool to describe how the length of the youths' hair changed by describing the rate of change. Prepare a summary describing each one's rate of hair growth and determine who has the highest and lowest rates. Construct a correspondence rule to describe the hair growth of each youth and present their graphs. What further information can you glean from the graphs of the functions describing the hair growth? x y change g change of g hair length in cm weeks John Gale Roy Lena difference of x-values initial value change g Change at a constant rate Gym 200-meter dash Wages Swimming pool Burning calories Growing hair Currency exchange Bank accounts Value tables and rate of change Rides Trips Constant and non-constant rate Graphs and correspondence rules Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5