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

question 15

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

• A) \[\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 6 & 8 & 10 & 12 \\ \hline y = \frac { k } { x ^ { 2 } } & & & & & \\ & \frac { 5 } { 8 } & \frac { 5 } { 18 } & \frac { 5 } { 32 } & \frac { 1 } { 10 } & \frac { 5 } { 72 } \\ \hline \end{array}\]
• B)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 6 & 8 & 10 & 12 \\ \hline \\y = \frac { k } { x ^ { 2 } } & \frac { 5 } { 8 } & \frac { 5 } { 8 } & \frac { 5 } { 8 } & \frac { 5 } { 8 } & \frac { 5 } { 8 } \\\\ \hline \end{array}\] ​
• C)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 6 & 8 & 10 & 12 \\ \hline \\y = \frac { k } { x ^ { 2 } } & \frac { 5 } { 72 } & \frac { 1 } { 10 } & \frac { 5 } { 32 } & \frac { 5 } { 18 } & \frac { 5 } { 8 } \\\\ \hline \end{array}\] ​ ​
• D)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 6 & 8 & 10 & 12 \\ \hline y = \frac { k } { x ^ { 2 } } & \frac { 5 } { 8 } & \frac { 5 } { 18 } & \frac { 5 } { 32 } & \frac { 5 } { 18 } & \frac { 5 } { 8 } \\ \hline \end{array}\] ​
• E)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 6 & 8 & 10 & 12 \\ \hline y = \frac { k } { x ^ { 2 } } & 4 & 6 & 8 & 10 & 12 \\ \hline \end{array}\] ​

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Definitions:

Metaphors

Figurative language used to represent ideas or concepts by comparing them to something else, often in a symbolic way.

Dreams

Subconscious reflections of one's desires, fears, and experiences, often interpreted for psychological insights.

Psychoanalytic Theory

A theory of personality development and the workings of the mind proposed by Sigmund Freud, emphasizing unconscious processes and childhood experiences.

Unconscious Wishes

Desires or thoughts that reside in the unconscious mind, not readily accessible to the conscious mind but influencing behavior and emotions.