A company’s profit is modeled by the quadratic function with zeros 6 and 42. The point (15, 81) is on the boundary line. Any values above the boundary line exceed the expected profits.

With zeros at 6 and 42, the quadratic has the form y = a(x − 6)(x − 42). Using the point (15, 81), 81 = a(9)(−27), so a = −1/3. Expanding gives y = −1/3x² + 16x − 84. Values above the boundary have greater y-values, so the inequality is y > −1/3x² + 16x − 84, choice B.

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