Find a Power Function That Models the Data in the Table

question 125

Multiple Choice

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. $$\begin{array} { c | c c c c c } \begin{array} { c } \text { Number of } \\\text { Desks Produced }\end{array} & 120 & 350 & 500 & 650 & 750 \\\hline \text { Profit (Thousands) } & 13 & 37 & 44 & 34 & 25\end{array}$$ 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.

• A) $40,000
• B) $42,000
• C) $45,000
• D) $44,000

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Definitions:

Delegate Power

The act of entrusting authority or responsibility from a higher authority to a lower one or from a principal to an agent.

Executive Branch

The branch of government responsible for implementing and enforcing laws, headed by the President and including departments and agencies that administer government functions.

Federal Government

The national government of the United States, which operates according to principles outlined in the U.S. Constitution, comprising three branches: executive, legislative, and judicial.

State of Emergency

A governmental declaration that temporarily enhances powers to the executive branch to manage emergencies or disasters.