Find a Power Function That Models the Data in the Table

question 40

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. $\begin{array}{c|cccccc}\text { Year } & 2005 & 2006 & 2007 & 2008 & 2009 & 2010 \\\hline \text { Percent } & 42 & 38 & 35 & 34 & 30 & 26\end{array}$

Find a power function that models the data in the table using an input equal to the number of years from 2000. R values to the nearest thousandth.

• A) \(y = - 0.638 x ^ { 120.077 }\)
• B) \(y = 120.077 x ^ { - 0.638 }\)
• C) \(y = 43.934 x ^ { - 0.240 }\)
• D) \(y = 52.857 x ^ { - 0.071 }\)

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