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7. y varies inversely as x and y = 12 when x = 5.
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Sagot :

INVERSE VARIATION

[tex] \\ \\ [/tex]

y varies inversely as x and y= 12 when x= 5

[tex] \\ y = \frac{k}{x} \\ \\ [/tex]

Evaluate values

[tex] \\ 12 = \frac{k}{5} \\ \\ [/tex]

Multiply 5 by both sides

[tex] \\ (5)(12) = \frac{k}{5} (5) \\ \\ [/tex]

Cancel both 5 from the right side

[tex] \\ (5)(12) = \frac{k}{ \cancel5} ( \cancel5) \\ \\ [/tex]

Multiply 5 by 12

[tex] \\ \huge \green{ \boxed{ \green{ \sf{ \bold{k = 60}}}}} \\ \\ \\ [/tex]

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