The dimensions of various-sized rectangular trays are created using the expression x – 1 for the width and x + 5 for the length. The function A(x) = x2 + 4x – 5 represents the area of the trays. The maximum length of the trays is 12 inches. The mathematical range of the function is y ≥ −9.

For a tray to have positive dimensions, its width x − 1 must be positive, so x > 1. The length is x + 5 and cannot exceed 12 inches, so x ≤ 7. The area increases over this interval, approaching 0 as x approaches 1 and reaching 12 × 6 = 72 square inches when x = 7. Therefore, the reasonable range is 0 < y ≤ 72, choice B.

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