The Table Below Gives the Number of Births, in Thousands

question 204

Multiple Choice

The table below gives the number of births, in thousands, to females over the age of 35 for a particular state every two years from 1994 to 2010. $\begin{array} { c | c } & \text { Births } \\\text { Year } & \text { (thousands) } \\\hline 1994 & 42.5 \\\hline 1996 & 29.9 \\\hline 1998 & 36.0 \\\hline 2000 & 56.9 \\\hline 2002 & 71.1 \\\hline 2004 & 69.9 \\\hline 2006 & 57.2 \\\hline 2008 & 37.1 \\\hline 2010 & 25.9\end{array}$
Use technology to find the quartic function that is the best fit for this data, where x is the number of years after 1994.
Round to five decimal places.

• A) \(y = 43.26566 x ^ { 4 } - 18.98367 x ^ { 3 } + 6.66654 x ^ { 2 } - 0.62258 x + 0.01723\)
• B) \(y = - 0.01723 x ^ { 4 } + 0.62258 x ^ { 3 } - 6.66654 x ^ { 2 } + 18.98367 x - 43.26566\)
• C) \(y = 0.02223 x ^ { 4 } - 0.82248 x ^ { 3 } + 8.66654 x ^ { 2 } - 15.98367 x + 41.96566\)
• D) \(y = 0.01723 x ^ { 4 } - 0.62258 x ^ { 3 } + 6.66654 x ^ { 2 } - 18.98367 x + 43.26566\)

---

Definitions:

Positive Emphasis

The practice of focusing on positive aspects or strengths in communication or presentation to influence perception or behavior.

Etiquette

The set of conventional rules of personal behavior in polite society, often in a specific professional or social setting.

"You" Attitude

A communication style that focuses on and prioritizes the audience's needs and interests.

Ms.

"Ms." is a title used before a woman's surname or full name to address her without specifying her marital status.