009A Sample Final 3, Problem 8

If  $W$  denotes the weight in pounds of an individual, and  $t$  denotes the time in months, then  ${\frac {dW}{dt}}$  is the rate of weight gain or loss in lbs/mo. The current speed record for weight loss is a drop in weight from 487 pounds to 130 pounds over an eight month period. Show that the rate of weight loss exceeded 44 lbs/mo at some time during the eight month period.

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