SOLUTION: Find the variation constant and an equation of variation in which y varies directly as x, and y = 20 when x = 40.

Question 1098795: Find the variation constant and an equation of variation in which y varies directly as x, and y = 20 when x = 40.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Direct variation means the "output" function value gets larger or smaller as the input value gets larger or smaller. This is represented by an equation of the form , where k is the variation constant.

If, as in this problem, you are given an x and a y value in a direct variation problem, you can find the variation constant k by plugging the given x and y values in the general form of the equation.

The variation constant is 0.5, or 1/2.
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