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y varies directly as x: find k if y = 10 and x = 2 (with solution)​

Sagot :

ANSWER

[tex] \\ \\ [/tex]

y varies directly as x and y= 10 when x= 2. Find the constant of variation.

[tex] \\ y = kx \\ [/tex]

Evaluate the values

[tex] \\ 10 = k(2) \\ [/tex]

Divide 2 to both sides

[tex] \\ \frac{10}{2} = \frac{k(2)}{2} \\ [/tex]

Cancel both 2 from the right side

[tex] \\ \frac{10}{2} = \frac{k( \cancel{2})}{ \cancel{2}} \\ [/tex]

Simplify by dividing 10 by 2

[tex] \\ \large{\boxed{ \green{ \sf{k = 5}}}} \\ \\ \\ [/tex]

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