A coordinate grid is mapped on a video game screen, with the origin in the lower-left corner. A game designer programs a helicopter to follow a path that can be modeled by a quadratic function with a vertex at (16, 20) and passing through the point (4, 25). She also programs an airplane to move along a linear path that passes through the points (0, 18) and (30, 20). Which system of equations can be used to determine whether the paths of the helicopter and airplane cross? startlayout enlarged left-brace 1st row y = one-fifteenth x + 18 2nd row y = startfraction 5 over 144 endfraction (x minus 16) squared + 20 endlayout startlayout enlarged left-brace 1st row y = 15 x + 18 2nd row y = startfraction 5 over 144 endfraction (x minus 16) squared + 20 endlayout startlayout enlarged left-brace 1st row y = one-fifteenth x + 18 2nd row y = negative startfraction 5 over 144 endfraction (x minus 4) squared + 25 endlayout startlayout enlarged left-brace 1st row y = 15 x + 18 2nd row y = negative startfraction 5 over 144 endfraction (x minus 4) squared + 25 endlayout.
