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This algebra video provides a basic introduction into direct variation. it explains how to find y given x when y varies directly with x. it also explains h. The sign “ ∝ ” is read “varies as” and is called the sign of variation. example: if y varies directly as x and given y = 9 when x = 5, find: a) the equation connecting x and y. b) the value of y when x = 15. c) the value of x when y = 6. solution: a) y ∝ x i.e. y = kx where k is a constant. substitute x = 5 and y = 9 into the equation:. Direct variation and inverse variation are used often in science when modeling activity, such as speed or velocity. some real life examples of direct variation are: the number of hours you work and the amount of your paycheck. the amount of weight on a spring and the distance the spring will stretch. the speed of a car and the distance traveled. How do you solve a word problem using the direct variation formula? word problems allow you to see math in action! take a look at this word problem involving an object's weight on earth compared to its weight on the moon. see how the formula for direct variation plays an important role in finding the solution.
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