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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Definitions:

ABAB Design

A research design for evaluating the effect of a treatment by repeatedly alternating between a baseline period and a treatment phase.

Therapeutic Intervention

A strategic action or treatment, often within the context of psychotherapy, designed to help individuals overcome issues or attain better functioning.

Intervention Effect

The outcome or change resulting from a specific action or intervention, often used in the context of clinical trials or social science research to assess the impact of treatments or interventions.

Positive Reinforcers

Stimuli that, when presented after a behavior, increase the likelihood of that behavior being repeated.