Among all deaths from a particular disease, the percentage that is smoking related (21–39 cigarettes per day) is a function of the disease’s incidence ratio. The incidence ratio describes the number of times more likely smokers are than nonsmokers to die from the disease. The following table shows the incidence ratios for heart disease and lung cancer for two age groups.
Source: Alexander M. Walker, Observations and Inference, Epidemiology Resources Inc., 1991.
For example, the incidence ratio of 9 in the table means that smokers between the ages of 65 and 74 are 9 times more likely than nonsmokers in the same age group to die from lung cancer. The rational function
models the percentage of smoking-related deaths among all deaths from a disease, P(x), in terms of the disease’s incidence ratio, x. The graph of the rational function is shown. Use this function to solve Exercises 103–106.
The Disease’s Incidence Ratio:
The number of times more likely smokers are than nonsmokers to die from the disease
Find P(9). Round to the nearest percent. Describe what this means in terms of the incidence ratio, 9, given in the table. Identify your solution as a point on the graph.
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