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

question 26

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.
$$\begin{array}{l}\begin{array} { | l | l | l | l | l | l | } \hline x & 8 & 10 & 12 & 14 & 16 \\\hline y = k x ^ { 2 } & & & & & \\& & & & & \\\hline\end{array}\\k = 1\end{array}$$

• A)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = k x ^ { 2 } & 256 & 196 & 144 & 100 & 64 \\ \hline \end{array}\] ​
• B)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = k x ^ { 2 } & 64 & 100 & 144 & 196 & 256 \\ \hline \end{array}\] ​ ​
• C)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = k x ^ { 2 } & 64 & 64 & 64 & 64 & 64 \\ \hline \end{array}\] ​ ​ ​
• D)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = k x ^ { 2 } & 64 & 100 & 144 & 100 & 64 \\ \hline \end{array}\] ​ ​
• 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:

Cognitive Dissonance

A psychological state characterized by experiencing conflicting thoughts, beliefs, or attitudes, especially relating to behavioral decisions and attitude change.

Z Problem-Solving Model

An approach to problem-solving that integrates both analytical and intuitive strategies, often represented in four stages resembling the letter "Z".

Nonpreferences

The absence of a preference or inclination towards any particular option or choice.

Emotion in Decision Making

The influence that feelings and emotional responses have on the process of making choices or judgments.