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Find a Power Function That Models the Data in the Table

question 7

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Find a power function that models the data in the table. Round to three decimal places if necessary.
-The percent of people who say they plan to stay in the same job position until they retire has decreased over recent years, as shown in the table below.  Year 200520062007200820092010 Percent 423835343026\begin{array} { c | c c c c c c } \text { Year } & 2005 & 2006 & 2007 & 2008 & 2009 & 2010 \\\hline \text { Percent } & 42 & 38 & 35 & 34 & 30 & 26\end{array} Find a power function that models the data in the table using an input equal to the number of years from 2000.
According to the unrounded model, in what year will only 23% of people plan to stay in the same job position until
Retirement?


Definitions:

Psychosexual Development

Sigmund Freud's theory outlining how personality develops through a series of childhood stages in which the pleasure-seeking energies of the id focus on distinct erogenous zones.

Libidinal Energy

A term primarily used in psychoanalysis to denote the instinctual sexual drive or desire that motivates human behavior.

Erogenous Zones

Areas of the body that experience heightened sensitivity and can generate sexual pleasure when stimulated.

Collective Unconscious

Jung’s hypothesized store of vague memories that represent the history of humankind.

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