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Coder74
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Inverse variation is a mathematical relationship between two variables in which one variable increases while the other decreases, or vice versa, in a constant and proportional manner.
To solve problems involving inverse variation, you can use the formula y = k/x, where y and x are the two variables and k is the constant of variation. Simply plug in the given values and solve for the missing variable.
Yes, inverse variation can be represented graphically by a hyperbola. As one variable increases, the other decreases, resulting in a curved line that approaches but never touches the axes.
The constant of variation (k) in inverse variation represents the proportionality constant. It remains the same for all values and is used to find the missing variable in the inverse variation formula.
Yes, inverse variation can be applied in various real-life situations, such as the relationship between speed and time, where speed increases as time decreases, and the relationship between pressure and volume in Boyle's Law.