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Solve the Problem A Logarithmic Equation That Models This Data I

Question 508

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Solve the problem.
-The rates of death (in number of deaths per 100,000 population) for 20-24 year olds in the United States
between 1985-1993 are given below. (Source: NCHS Data Warehouse)  Year  Rate of Death 1985134.91987154.71989162.91991174.51993182.2\begin{array} { c | c } \text { Year } & \text { Rate of Death } \\\hline 1985 & 134.9 \\\hline 1987 & 154.7 \\\hline 1989 & 162.9 \\\hline 1991 & 174.5 \\\hline 1993 & 182.2\end{array} A logarithmic equation that models this data i y=57.76+48.56lnxy = 57.76 + 48.56 \ln x 56 ln x where x represents the number of years since
1980 and y represents the rate of death in that year. Use this equation to predict the year in which the rate of
death for 20-24 year olds first exceeds 200.

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