Find a Power Function That Models the Data in the Table

question 30

Multiple Choice

Find a power function that models the data in the table. Round to three decimal places if necessary.
-The table shows the number of new cases of a certain disease among women in six consecutive years. Data are in thousands rounded to the nearest hundred. $\begin{array} { l c } \frac { \text { Year } } { 2005 } & \text { New Cases (thousands) } \\ & 3.0 \\ 2007 & 3.4 \\ 2008 & 4.6 \\ 2009 & 5.4 \\ 2010 & 6.0 \\ & 16.1 \end{array}$
Let $x = 1$ correspond to 2005 and let $y$ be the number of new cases (in thousands) among women in year $x$ . Find a quadratic function to model the data. Use the unrounded function to determine in what year the number of new cases among women will reach 20,000 .

• A) 1992
• B) 1993
• C) 1994
• D) 1995

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