Amy throws a quarter from the top of a building at the same time that a balloon is released from the ground. The equation describing the height y above ground of the quarter in feet is y = 64 - 2x², where x is the time in seconds. The equation describing the elevation of the balloon in feet is y = 6x + 8, where x is the time in seconds. After how many seconds will the balloon and quarter pass each other? Check your solution for reasonableness and justify using complete sentences.
