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If y varies directly as x and y = 18 when x = 3, find the constant of variation

Sagot :

Answer:

constant of variation = 6

Step-by-step explanation:

Direct variation formula:

[tex]y = kx[/tex]

where 'k' is the constant of variation. Therefore,

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

Substitute the given value of x and y to find the constant of variation.

[tex]k = \frac{18}{3} = 6[/tex]

Hence, 6 is the constant of variation.