Jared Fogle, also known as the “Subway Sandwich Guy,” weighed 425 lb in 1997 before losing more than 240 lb in 12 months (http://en.wikipedia.org/wiki/Jared_Fogle). A chart showing his possible dramatic weight loss is given in the accompanying figure.

a. Estimate Jared’s rate of weight loss when

i) t = 1 ii) t = 4 iii) t = 11

b. When does Jared lose weight most rapidly and what is this rate of weight loss?

c. Use the graphical technique of Example 3 to graph the derivative of weight W.

Weight (lb) W 500 425 300 200 100 0 1 2 3 4 5 6 7 7 Time (months) 8 8 9 10 11 12