Use the Given Value of K to Complete the Table $y = k x ^ { 2 }$

question 20

Multiple Choice

Use the given value of k to complete the table for the direct variation model​ $y = k x ^ { 2 }$ . ​
Plot the points on a rectangular coordinate system.
$$\begin{array}{l}\begin{array} { | l | l | l | l | l | l | } \hline x & 8 & 10 & 12 & 14 & 16 \\\hline y = k x ^ { 2 } & & & & & \\& & & & & \\\hline\end{array}\\k = \frac { 1 } { 4 }\end{array}$$

• A) ​\[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = k x ^ { 2 } & 64 & 49 & 36 & 25 & 16 \\ & & & & & \\ \hline \end{array}\] ​
• B)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = k x ^ { 2 } & 16 & 16 & 16 & 16 & 16 \\ \hline \end{array}\] ​
• C)​ \[\begin{array} { | c | r | r | r | r | r | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = k x ^ { 2 } & 16 & 25 & 36 & 25 & 16 \\ \hline \end{array}\] ​ ​
• D)​ \[\begin{array} { | c | r | r | r | r | r | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = k x ^ { 2 } & 16 & 25 & 36 & 49 & 64 \\ \hline \end{array}\] ​ ​
• E)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = k x ^ { 2 } & 8 & 10 & 12 & 14 & 16 \\ & & & & & \\ \hline \end{array}\] ​

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Definitions:

Optic Nerve

The nerve that transmits visual information from the retina to the brain.

Choroid Layer

A layer of the eye containing blood vessels and pigment cells, located between the retina and the sclera, primarily responsible for providing oxygen and nourishment to the outer layers of the retina.

Sclera

White, fibrous, outer layer of the eyeball.

Sensory Adaptation

Change in the sensitivity of a receptor that usually makes the receptor less sensitive to its stimulus.