According to the American Cancer Society, death rates from diseases other than cancer were falling from 1950 to 2003, while cancer death rates remained virtually the same. Measured per hundred thousand, the death rate from heart disease in 1950 was 586.This amount decreased at an average annual rate of 1.74% over the next 53 years.
a. Assuming that this trend continues, find a natural growth function D(t) that gives heart disease deaths per hundred thousand as a function of t, years after 1950.
b. Based on your model, how many heart disease deaths per hundred thousand were there in 1967?
c. Use your model to predict the year in which heart disease deaths per hundred thousand fall to 300.
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