The quadratic equation y = –6x2 + 100x – 180 models the store’s daily profit, y, for selling soccer balls at x dollars.The quadratic equation y = –4x2 + 80x – 150 models the store’s daily profit, y, for selling footballs at x dollars. Use a graphing calculator to find the intersection point(s) of the graphs, and explain what they mean in the context of the problem.
points of intersection represent when the price and profit are the same for each type of ball. The intersection points are approximately(8.16, 236.49) and (1.84, –16.49). When the store charges $8.16 for each type of ball, they make the same profit from each ball, approximately $236.49. Charging $1.88 provides no profit for either type of ball.
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