Medicine—Healing Time: Medical researchers have recentlybegun to use mathematical modeling...

Medicine—Healing Time: Medical researchers have recentlybegun to use mathematical modeling to project the length of time that it takes to heal many common wounds. Suppose that the healing of a 30-square-inch chest wound can be modeled by

where x represents the number of days since the wound occurred and f(x) represents the size of the wound in square inches.

(a) Evaluate f(7) and interpret.

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(b) Compute the slope of the secant line for x = 1 and Δx = 7 and interpret.

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(c) Determine and interpret.