Find a Power Function That Models the Data in the Table

question 119

Multiple Choice

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. $$\begin{array} { c | c c c c c c } \text { Year } & 2005 & 2006 & 2007 & 2008 & 2009 & 2010 \\\hline \text { Percent } & 42 & 38 & 35 & 34 & 30 & 26\end{array}$$ 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, what percent of people will plan to stay in the same job position until retirement in
2014?

• A) 22%
• B) 19%
• C) 24%
• D) 18%

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Definitions:

Consumer Reports

A nonprofit organization that provides reviews and comparisons of consumer products and services based on testing and research.

Specialty Product

A product that is characterized by a unique quality, brand, or characteristic that consumers are willing to make a special purchase effort to obtain.

Shopping Product

A type of product that consumers purchase after comparing quality, price, and style from various sellers, requiring more thought and effort than routine purchases.

Discretionary Product

Products or services that are non-essential and purchased with disposable income, the demand for which tends to be more elastic and influenced by consumers' economic status.