Social sciences: Smoking and Income Based on a recent study, the probability that someone is a smoker decreases with the person’s income. If someone’s family income is x thousand dollars, then the probability (expressed as a percentage) that the person smokes is approximately y = -0.31x + 40 (for 10 ≤x ≤ 100).
a. Graph this line on the window [0, 100] by [0, 50].
b. What is the probability that a person with a family income of $40,000 is a smoker? [Hint: Since x is in thousands of dollars, what x-value corresponds to $40,000?]
c. What is the probability that a person with a family income of $70,000 is a smoker?
Round your answers to the nearest percent.
Source: Journal of Risk and Uncertainty 21(2/3)
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