For selected years from 1955 through 2010, the annual per capita consumption C of

Chapter 3, Problem 69

(choose chapter or problem)

Public Health

For selected years from 1955 through 2010, the annual per capita consumption C of cigarettes by Americans (ages 18 and older) can be modeled by

\(C(t)=-1.39 t^{2}+36.5 t+3871, \quad 5 \leq t \leq 60\)

where t is the year, with t = 5 corresponding to 1955. (Sources: Centers for Disease Control and Prevention and U.S. Census Bureau)

(a) Use a graphing utility to graph the model.

(b) Use the graph of the model to approximate the year when the maximum annual consumption of cigarettes occurred. Approximate the maximum average annual consumption.

(c) Beginning in 1966, all cigarette packages were required by law to carry a health warning. Do you think the warning had any effect? Explain.

(d) In 2010, the U.S. population (ages 18 and older) was 234,564,000. Of those, about 45,271,000 were smokers. What was the average annual cigarette consumption per smoker in 2010? What was the average daily cigarette consumption per smoker?

Text Transcription:

C(t)=-1.39 t^{2}+36.5 t+3871,  5 <= t <= 60