Time (seconds) Emile's Distance (m) Henri's Distance (m) 0 5 10 15 20 25 30 35 40 1 100 95 90 85 80 75 70 65 Distance (meters) 60 55 50 45 40 35 30 25 20 15 10 5 0 5 10 15 20 25 30 35 40 45 Time (seconds) 2 3. Write an equation representing the relationship and explain what each variable represents Distance (Henri) = _______________________ Distance (Emile)= _____________________ B 1. How far does Emile walk in 20 seconds? ____________________ 2. After 20 seconds, how far apart are the brothers? __________________ How did you find this on the table? _______________________________________________ ___________________________________________________________________________ How did you find this on the graph? _______________________________________________ ___________________________________________________________________________ 3. Is the point (26, 70) on either graph? _____________ Explain how you knew ______________ ___________________________________________________________________________ C. How can you determine which of the two lines will be steeper 1. from a table of the data? _______________________________________________________ 2. from an equation? ____________________________________________________________ D. 1. At what points do the two boys' lines cross the y­axis? Henri? _________ Emile?__________ 2. What information do these points represent in terms of the race? _______________________ 3. How can these points be found in a table? _________________________________________ In an equation? ____________________________________________________________ 3