Write the direct variation equation. y = k x Substitute the given x and y values, and solve for k . 30 = k ⋅ 6 k = 5 The equation is y = 5 x . Now substitute x = 100 and find y . y = 5 ⋅ 100 y = 500
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The direct variation equation is a linear equation in two variables and is given by y = kx where k is the constant proportionality. The direct variation graph in a coordinate plane is a straight line.
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A direct variation, also called direct proportion is a relationship between two variables x and y that can be written as y = kx, k ≠ 0. This situation occurs when the ratio of two variables is constant. When y = kx, we say that y varies directly
y = kx where k is the constant of variation. Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y
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