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The Table Below Gives the Number of Births, in Thousands

question 205

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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.  Births  Year  (thousands)  199442.5199629.9199836.0200056.9200271.1200469.9200657.2200837.1201025.9\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.
According to the model, how many births were there to females over the age of 35 in this state in 2014?


Definitions:

Ancient Trees

Very old trees, often centuries or millennia in age, which can provide historical and environmental insights.

Crown

In dentistry, an artificial cover for a damaged or decayed tooth; in botany, the upper part of a tree, including branches and leaves.

Phloem

A type of vascular tissue in plants that transports sugars and other metabolic products downward from the leaves.

Xylem

A type of vascular tissue in plants responsible for the transport of water and dissolved nutrients from the roots to the rest of the plant.

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