Use a Graphing Calculator to Plot the Data and Find

question 115

Multiple Choice

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-A rock is dropped from a tall building and its distance (in feet) below the point of release is recorded as accurately as possible at various times after the moment of release. The results are shown in the table. Find the
Regression equation of the best model. $$\begin{array} { l | l l l l l l } \mathrm { x } \text { (seconds after release) } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \mathrm { y } \text { (distance in feet) } & 16 & 63 & 146 & 255 & 403 & 572\end{array}$$

• A) y = 15.95x²
• B) y = 13.0 e0.686x
• C) y = -74.9 + 290 lnx
• D) y = - 148.4 + 112x

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Definitions:

Paranasal Sinuses

Air-filled spaces located within the bones of the skull and face, connected to the nasal cavity, that help humidify and filter air.

Cilia

Microscopic, hair-like structures that protrude from the surface of many cells, involved in movement and sensory functions.

Pharynx

The muscular tube that connects the mouth and nasal passages with the esophagus.

Tidal Volume

The amount of air that is inhaled or exhaled in a normal breath under resting conditions, important in respiratory physiology.