Beating Usain Bolt (adapted from whyy.pbslearningmedia.org) 1.) Students watch Usain Bolt’s 200 meter Olympic race 2.) Students view video from the following website: http://whyy.pbslearningmedia.org/resource/mgbh.math.g.race/beating-­‐usain-­‐bolt/ Time (s) Diane’s Distance meters Usain’s Distance (meters) Diane’s Distance with head start 0 1 2 3 4 5 10 15 20 1.) Graph the Distance vs. Time plot for Usain Bolt. Write the equation of this line to represent distance as a function of time. What does the slope of this line represent? 2.) Graph the Distance vs. Time plot for Diane. Write the equation of this line to represent distance as a function of time. What does the slope of this line represent? 3.) Fill out the table of values when Diane has a 75 meter head start. Graph this line. 4.) If Diane had a 75 meter head start, how would the graph change? What would the equation of the Diane’s new line be? 5.) If Diane has a 75 meter head start, will she win the race? How can you tell by looking at the graph? 6.) Find the intersection point of Diane’s line (with 75 meter head start) and Usain Bolt’s line using your graphing calculator. Interpret this point in context. 7.) How many seconds does it take Usain Bolt to win the race? 8.) Use a system of linear equations to determine how much of a head start Diane needs to win the race. Beating Usain Bolt (adapted from whyy.pbslearningmedia.org)