Rate of change of linear functions
200-meter dash


Four runners made it to the finals of the 200-meter dash:

runner country
a L. Bakinova Russia
b D. Rivero Portugal
c R. Tulo Ethiopia
d N. Wang China


The race is described in the graphs below. Press the run button to see a simulation of the race.


Write descriptions of the race from three viewpoints:
A sportscaster: Describe the race as it is happening. Indicate the time corresponding to every sentences you write.
  • Sports analyst: Analyze the running style of each athlete.
  • Mathematical description: Describe the functions representing the race in mathematical terms:
    - Construct value tables describing the position and speed of the runners at different times.
    - Sketch graphs describing the dependence of the runners' speed on time.
    - Describe in words how the speed of each runner changed in the course of the race.


  • time (seconds) distance along track (meters)
    a- L. Bakinova
    b- D. Rivero
    c- R. Tulo
    d- N. Wang
    seconds
    trace




    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