GIVEN
[tex] \\ [/tex]
y varies inversely as x and y= 32 when x= 4. Find the constant of variation.
[tex] \\ y = \frac{k}{x} \\ \\ [/tex]
Evaluate the values
[tex] \\ 32 = \frac{k}{4} \\ \\ [/tex]
Multiply 4 to both sides
[tex] \\ (4)(32 )= \frac{k}{4}(4) \\ \\ [/tex]
Cancel both 4 from the right side
[tex] \\ (4)(32 )= \frac{k}{ \cancel4}( \cancel4) \\ \\ [/tex]
Multiply 32 by 4
[tex] \\ \huge{\texttt{Answer: } }\\ \implies \: \large\green{ \boxed{ \green{ \sf{ \bold{k = 128}}}}} \\ \\ \\ [/tex]
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