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

question 43

Multiple Choice

Use the given value of k to complete the table for the inverse variation model​ $y = \frac { k } { x ^ { 2 } }$ . Plot the points on a rectangular coordinate system.
$\begin{array}{|l|l|l|l|l|l|}\hline x & 8 & 10 & 12 & 14 & 16 \\\hline y=\frac{k}{x^{2}}\\\hline\end{array}$
$k = 20$

• A)​​\[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = \frac { k } { x ^ { 2 } } & \frac { 5 } { 16 } & \frac { 1 } { 5 } & \frac { 5 } { 36 } & \frac { 5 } { 49 } & \frac { 5 } { 64 } \\ \hline \end{array}\]
• B)​\[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = \frac { k } { x ^ { 2 } } & \frac { 5 } { 16 } & \frac { 5 } { 16 } & \frac { 5 } { 16 } & \frac { 5 } { 16 } & \frac { 5 } { 16 } \\ \hline \end{array}\] ​ ​
• C)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = \frac { k } { x ^ { 2 } } & \frac { 5 } { 64 } & \frac { 5 } { 49 } & \frac { 5 } { 36 } & \frac { 1 } { 5 } & \frac { 5 } { 16 } \\ \hline \end{array}\] ​​ ​
• D)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = k x ^ { 2 } & \frac { 5 } { 16 } & \frac { 1 } { 5 } & \frac { 5 } { 36 } & \frac { 1 } { 5 } & \frac { 5 } { 16 } \\ \hline \end{array}\] ​
• E)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 8 & 10 & 12 & 14 & 16 \\ \hline y = \frac { k } { x ^ { 2 } } & 8 & 10 & 12 & 14 & 16 \\ \hline \end{array}\] ​

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Definitions:

ControlLogic (CLX)

A platform or system in industrial automation that integrates control and information across an enterprise.

Controller Scope Tags

Variables or identifiers used within a control system that are available throughout the entire controller but not beyond its scope.

CLX Timer Instruction

A specific command used within ControlLogix or similar Allen-Bradley PLC programming to implement timing functions, like delays or scheduled events.