2.5+Crossing+the+Line

May 25 2009 ED Big idea: Notes:Class skipped this investigation in class 2.5 And Follow Up 1) Make a table showing the distance each brother is from the starting line at several different times during the first 40 seconds.
 * a.

2)On the same set of axes, graph the time and the distance from the starting line for both brothers

3) Write an equation for each brother showing the relationship between the time and the distance from the starting line.** y=2.5x for Emile, y=x+45 for Henri


 * B) How far from the starting line will Emile overtake Henri? Explain how you can use the table and the graph to answer this question.** Emile will overtake Henri at 74 meters on the graph this is shown when the 2 lines meet, on the table this is shown when Emiles numbers start to get larger then Henris numbers.


 * C) After how many seconds will Emile overtake Henri? Explain how you can use the table and the graph to answer this question.** Emile will overtake Henri at 30 seconds it is the same thing as B just look at it from the x axis point of view.

1) After 3 seconds, who will be ahead, by how much? Henri will be ahead by 40.5 meters. **2) How far will Henri be from the starting line when Emile has walked 10 meters? **49 meters.** a) Which graph is steeper**
 * Follow Up
 * 3.