Many people think that hair growth is stimulated by haircuts. In fact, there is no

Chapter 1, Problem 69

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Many people think that hair growth is stimulated by haircuts. In fact, there is no difference in the rate hair grows after a haircut, but there is a difference in the rate at which hairs ends break off. A haircut eliminates dead and split ends, thereby slowing the rate at which hair breaks. However, even with regular haircuts, hair will not grow to an indefinite length. The average life cycle of human scalp hair is 3-5 years, after which the hair is shed.29 Judy trims her hair once a year, when its growth is slowed by split ends. She cuts off just enough to eliminate dead and split ends, and then lets it grow another year. After 5 years, she realizes her hair wont grow any longer. Graph the length of her hair as a function of time. Indicate when she receives her haircuts.