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1. If y varies directly as x and y=12 when x=2, find the variation constant and the equation of variation.
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Problem:

1. If y varies directly as x and y=12 when x=2, find the variation constant and the equation of variation.

Solution:

​y = kx

12 = k(2)

12/2 = k

k = 6 → constant of variation

​y = 6x → equation of variation

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