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.

Question

Revolt · Accepted Answer

The graphs intersect at approximately (1.84, −16.49) and (8.16, 236.49). These points show prices at which the profit is the same for soccer balls and footballs. At a price of about $8.16, the profit is about $236.49 for each type; at about $1.84, the profit is about −$16.49 for each type.

Modeling with Quadratic Equations

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