Solve the Problem A Logarithmic Equation That Models This Data I

question 159

Short Answer

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) $$\begin{array} { c | c } \text { Year } & \text { Rate of Death } \\\hline 1985 & 134.9 \\\hline 1987 & 154.7 \\\hline 1989 & 162.9 \\\hline 1991 & 174.5 \\\hline 1993 & 182.2\end{array}$$ A logarithmic equation that models this data i $y = 57.76 + 48.56 \ln x$ 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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Definitions:

Rational Choice Theory

A framework for understanding and often formally modeling social and economic behavior as the outcome of individual actions that are in each person's self-interest.

Corporate Actors

Organizations and companies that, when viewed as single entities, play significant roles in socio-economic and political arenas, influencing policies and market dynamics.

James Coleman

An American sociologist whose work significantly contributed to educational sociology, social theory, and the study of social capital.

Positivist Orientation

An approach in social science that emphasizes the use of empirical evidence and scientific methods to understand and explain social phenomena.