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Aptitude Topics

Direct Variation

Direct variation happens when two variables change together in the same direction. If one increases, the other increases at the same rate.

Fundamental Principles

Direct Variation (Y ∝ X)

A relationship where the ratio of two variables is always equal to a constant value. This is written as y = k * x, where 'k' is the constant of variation.

Essential Formulation Tips

  • When two values change by direct variation, you can set them up as an equal ratio: x1 / y1 = x2 / y2.
  • Common real-world examples include purchasing items (more items cost more money) or working at a fixed hourly wage.

Shortcut Execution Techniques

  • If a problem states that y varies directly with x, find the multiplier value 'k' using your initial data points to quickly solve for any new values.

Contextual Inquiries (FAQs)

Q: Does direct variation always draw a straight line on a graph?

A: Yes, it creates a straight line that passes directly through the origin (0, 0).