Definition: In an inverse variation, the values of the two variables change in an opposite manner – as one value increases, the other decreases. It is said that one variable varies inversely as the other. The formula for inverse variation is y = k/x, where k is the constant of variation.
Example: If y varies inversely as x and x=7 when y=5, find the variation equation.
Step 1: Substitute the x and y into the equation. This gives us: 5 = k/7.
Step 2: Solve the equation for k. In this example, we multiply both sides by 7 to yield: k = 35.
Step 3: Rewrite the original formula with just the k plugged in: y = 35/x.
Still need help with inverse variation equations? Download Yup and get help from an expert math tutor 24/7.