Question

Find the variation constant and an equation of variation where y varies directly as x and y=16 when x=2

Answer 1

variation constant = k = 8

equation of variation : y = 8x

Explanation:

Any relationship of variation can be written as y = kx

where k is the variation constant.

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Let the equationof relation between y and x be y =kx here as well

given

y = 16 when x = 2

substituting this value in the equation y = kx

16 = k*2

=> k = 16/2 = 8

Thus,

variation constant = k = 8

equation of variation : y = 8x