Task Home Run Derby Data are shown below for three baseball players at a recent minor league home run hitting contest. Juan The ball followed a path modelled by the equation h = -0.001d" + 0.5d + 2.5 where h is the height of the ball in feet and d is the horizontal distance in feet. Mark The heights of the ball at different distances are given in the table below. !(ft) h (ft 50 23 100 38 150 48 200 53 250 53 300 48 350 38 400 23 Barry The path of the ball is shown on the graph below. 50 40 Height (ft) 30 20 10 0 50 100 150 200 250 300 350 400 450 Distance (ft)1. Represent the distance-height relationship for each player's ball as an equation, in a table, and on a graph. Record each representation 2. Suppose there were no obstacles. Whose ball would travel the greatest distance before hitting the ground? The least distance? How did you find out? 3. Suppose the fence was 350 ft from home plate. At what height was each ball when it passed over the fence? Page 2 2 +