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.
Answer
Answer:
The graphs intersect at approximately (1.84, −16.49) and (8.16, 236.49). At each intersection, the store earns the same profit from soccer balls and footballs at that price. For example, at about $8.16 per ball, the profit is about $236.49 for either type.