[tex] \\ \bold{GIVEN : }\\ [/tex]
[tex] \\ \texttt{y \: varies \: inversely \: as \: x} \\ \implies \texttt{ \: y = 12 \: and \: x = 3} \\ \\ [/tex]
[tex] \\ y = \frac{k}{x} \\ [/tex]
Evaluate the given values
[tex] \\ 12 = \frac{k}{3} \\ [/tex]
Multiply 3 to both sides
[tex] \\ (3)(12) = \frac{k}{3} (3) \\ [/tex]
Cancel both 3 from the right side
[tex] \\ (3)(12) = \frac{k}{ \cancel3} ( \cancel3) \\ [/tex]
Multiply 3 by 12
[tex] \\ \large \green{\boxed{ \green{ \sf{k = 36}}}} \\ \\ \\ [/tex]
#CarryOnLearning
