Muscle contraction. In a study of the speed of muscle contraction in frogs under various loads, British biophysicist A. W. Hill determined that the weight w (in grams) placed on the muscle and the speed of contraction v (in centimeters per second) are approximately related by an equation of the form
(w + a) (v + b) = c
where a, b, and c are constants. Suppose that for a certain muscle, a = 15, b = 1, and c = 90. Express v as a function of w. Find the speed of contraction if a weight of 16 g is placed on the muscle.
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