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3. y varios inversely as x and y = 32 whenx - 4. Find the
constant of variation
A.8
B.28
C. 36
D. 128


Sagot :

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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