Three students are shooting wads of paper with a rubber band, aiming for a trash can in the front of the room. The height of each student’s paper wad in feet is given as a function of the time in seconds. Which student’s paper wad flies the highest?
• The path of Alejandro’s paper wad is modeled by the equation [math]f(x) = –x^2 + 2x + 7[/math].
• Melissa’s paper wad is estimated to reach the heights shown in the table below.
[math]\ \ \ \ \ x \ \ \ 0 \ \ \ 2 \ \ \ 3 \ \ \ 4[/math]
[math]\ \ \ \ \ y \ \ \ 3 \ \ \ 6 \ \ \ 7 \ \ \ 6[/math]
• After [math]3[/math] seconds, Connor’s paper wad achieves a maximum height of [math]6.5[/math] feet above the floor.
