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)​ \[\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 6 & 8 & 10 & 12 \\ \hline y = \frac { k } { x ^ { 2 } } & 4 & 6 & 8 & 10 & 12 \\ \hline \end{array}\] ​

---

Definitions:

Nativist

A perspective in psychology and linguistics suggesting that certain skills or abilities are "native" or hardwired into the brain at birth, contrasting with theories that emphasize learning and experience.

Cognitive

Related to the mental processes involved in gaining knowledge and comprehension, including thinking, knowing, remembering, and problem-solving.

Interactionist

An approach in sociology and psychology that emphasizes the mutual influence of individuals and society upon each other.

Innate Predisposition

An inherent inclination or tendency to behave or respond in a certain manner, often present from birth.