Find a Power Function That Models the Data in the Table

question 10

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. $\begin{array} { l c } \underline { \text { Year } } & \text { New Cases (thousands) } \\ 2005 & 3.0 \\ 2006 & 3.4 \\ 2007 & 4.6 \\ 2008 & 5.4 \\ 2009 & 6.0 \\ 2010 & 16.1 \end{array}$
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. Round to three decimal places if necessary.

• A) \(y = 6.69 x ^ { 2 } - 3.645 x + 0.823\)
• B) \(y = 0.823 x ^ { 2 } - 3.645 x + 6.69\)
• C) \(y = 0.945 x ^ { 2 } - 5.212 x + 8.921\)
• D) \(y = 0.623 x ^ { 2 } - 5.645 x + 8.69\)

Understand the functionality and benefits of a Human Resource Information System (HRIS) in decision making and control.

Identify key global economic and political changes and their impact on business, such as Brexit.

Relate organizational success to the alignment of processes with customer needs and the importance of quality improvement.

Comprehend the significant role HR managers play in strategy formulation and implementation, and the wide range of responsibilities they handle.

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Definitions:

Noncumulative

A term often used in the context of preferred stock dividends that indicates dividends not paid in one period do not need to be paid in future periods.

Nonparticipating

Refers to an insurance policy, financial instrument, or other contracts that do not entitle the holder to share in the profits or surplus of the issuer.

Cash Dividends

Payments made by a corporation to its shareholders out of its profits or reserves in the form of cash.