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Find a Power Function That Models the Data in the Table

question 125

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Find a power function that models the data in the table. Round to three decimal places if necessary.
-A furniture manufacturer decides to make a new line of desks. The table shows the profit, in thousands of dollars, for various levels of production.  Number of  Desks Produced 120350500650750 Profit (Thousands)  1337443425\begin{array} { c | c c c c c } \begin{array} { c } \text { Number of } \\\text { Desks Produced }\end{array} & 120 & 350 & 500 & 650 & 750 \\\hline \text { Profit (Thousands) } & 13 & 37 & 44 & 34 & 25\end{array} Find a quadratic function to model the data, and use the model to predict the profit if 450 desks are made. Round to the
Nearest thousand.


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