In the years after warning labels were put on cigarette packs, the number of smokers dropp...

In the years after warning labels were put on cigarette packs, the number of smokers dropped from approximately two in five adults to one in five. The bar graph shows the percentage of American adults who smoked cigarettes for selected years from 1970 through 2010.

The mathematical model

describes the percentage of Americans who smoked cigarettes, p, x years after 1970. Use this model to solve Exercise .

a. Does the mathematical model underestimate or overestimate the percentage of American adults who smoked cigarettes in 2010? By how much?

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b. Use the mathematical model to project the year when only 7% of American adults will smoke cigarettes.