Solved: Among all deaths from a particular disease, the percentage thatis smoking

Chapter 3, Problem 105

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Among all deaths from a particular disease, the percentage thatis smoking related (2139 cigarettes per day) is a function ofthe diseases incidence ratio. The incidence ratio describes thenumber of times more likely smokers are than nonsmokers to diefrom the disease. The following table shows the incidence ratiosfor heart disease and lung cancer for two age groups.For example, the incidence ratio of 9 in the table means thatsmokers between the ages of 65 and 74 are 9 times more likelythan nonsmokers in the same age group to die from lung cancer.The rational functionP(x) = 100(x - 1)xmodels the percentage of smoking-related deaths among alldeaths from a disease, P(x), in terms of the diseases incidenceratio, x. The graph of the rational function is shown. Use thisfunction to solve Exercises 103106.What is the horizontal asymptote of the graph? Describewhat this means about the percentage of deaths caused bysmoking with increasing incidence ratios.