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Find a Power Function That Models the Data in the Table

question 79

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Find a power function that models the data in the table. Round to three decimal places if necessary.
-The table lists the distance traveled by a falling object, where t is the elapsed time in seconds and d is the distance in meters. t012345d04.919.644.178.4122.5\begin{array}{r|rrrrrr}\mathrm{t} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{d} & 0 & 4.9 & 19.6 & 44.1 & 78.4 & 122.5\end{array}

\text { If the distance is modeled by } \mathrm { d } ( \mathrm { t } ) = \mathrm { at } ^ { 2 } \text {, find the distance traveled after } 13 \text { seconds. }
\end{array}\]


Definitions:

Divisional Profits

The earnings generated by distinct segments or divisions within a larger company, often used to assess their financial performance.

Invested Capital

The total investment in a company by shareholders and debt holders, representing the funds used to operate and grow the business.

Asset Turnover

A financial ratio that measures the efficiency of a company's use of its assets in generating sales revenue.

Invested Capital

The total amount of money that shareholders and debt holders have committed to a company for its operations.

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