Round your answer to two decimal places.
-If $x$ varies inversely as $y ^ { 2 }$, and $x = 6$ when $y = 12$, find $x$ when $y = 3$
A) 4
B) 54
C) 96
D) 144

Question

Quizplus · Accepted Answer

The relationship between $x$ and $y$ is given by $x = k / y^2$, where $k$ is a constant. When $x = 6$ and $y = 12$, we can find $k$ by substituting these values into the equation: $6 = k / 12^2$, which gives $k = 6 \times 144 = 864$. When $y = 3$, we substitute $k = 864$ and $y = 3$ into the equation to find $x$: $x = 864 / 3^2 = 864 / 9 = 96$.

Round Your Answer to Two Decimal Places xxx Varies Inversely As y2y ^ { 2 }y2

Round Your Answer to Two Decimal Places $x$ Varies Inversely As $y ^ { 2 }$