# Algebra

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n 1966, the U.S. Surgeon General's health warnings began appearing on cigarette packages. Data gathered after 1965 indicate that public awareness of the health hazards of smoking has had some effect on consumption of cigarettes.

The percentage, p, of the total population (18 and older) who smoked t years after 1965 can be approximated by the model p=0.55t + 41.67, where t is the number of years after 1965.
Note that t=0 corresponds to the year 1965, t=9 corresponds to 1974, etc.

a. Determine the percentage of the population who smoked in 1991 (t=16)

b. Use the formula to determine the year when the percentage of smokers will be 15% (p=15)?

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