Find a Power Function That Models the Data in the Table

Multiple Choice

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. $\begin{array}{r|rrrrrr}\mathrm{t} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{d} & 0 & 4.9 & 19.6 & 44.1 & 78.4 & 122.5\end{array}$

\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}\]

A) 828.1 meters
B) 2704 meters
C) 676 meters
D) 4057.69 meters