Find a Power Function That Models the Data in the Table

question 79

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

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Definitions:

Mental Image

A representation in a person's mind of a sensory experience without the stimulus being present.

Momentary Memory

Refers to the very brief storage of sensory information in the memory system, also known as sensory memory.

Automatically Processed

Information processing that occurs subconsciously and without the need for conscious attention or control.

Working Memory

A mental system with restricted capability tasked with holding information briefly for the purposes of processing and altering it.