Direct Variation Calculator
This calculator helps you solve direct variation problems, where two variables increase or decrease together at a constant rate. It finds the constant of variation (k) and lets you calculate missing values in equations of the form $$y = kx$$.
Solve and Analyze Direct Proportional Relationships
Direct Variation Formula
$$y = kx \quad \Rightarrow \quad k = \frac{y}{x}$$
Explanation:
In direct variation, $$y$$ is directly proportional to $$x$$. The ratio $$\frac{y}{x}$$ remains constant for all values. Once $$k$$ is found, you can solve for any missing variable.
Direct Variation – Calculation Example
Given: y = 24 when x = 6
Step 1: k = y / x = 24 / 6 = 4
Step 2: Equation → y = 4x
Find y when x = 10 → y = 4 × 10 = 40
Direct variation is used in physics (e.g., Hooke’s Law), finance (proportional earnings), and everyday problems like pricing and conversions. This calculator quickly finds the proportionality constant and solves for unknowns, making it ideal for students, engineers, and business analysts.