Q1
What is direct variation?
Ay = kx, quantities increase together
By = k/x, one increases as other decreases
CNo relationship exists
DQuantities are always equal
ICSEClass 8 (ICSE)MathematicsCh 10 · Topic 2
Practice and Revision - Direct and Inverse Variation
Let us practise and revise what we learned about direct and inverse variation. Direct variation means two quantities increase or decrease to
Core concept
In direct variation, y = kx (where k is a constant), meaning if x doubles, y also doubles, like distance and time at constant speed.
How it works
In inverse variation, y = k/x, meaning if x doubles, y halves, like speed and time for a fixed distance.
Why it matters
We identify the type of variation by observing how quantities change together in a given problem or dataset.
Key detail
Understanding variation helps us model and solve real-world problems involving proportional relationships between quantities.
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Quick notes
• Direct variation: y = kx.
• If x doubles, y doubles too.
• Example: distance and time at constant speed.
• Inverse variation: y = k/x.
• If x doubles, y halves.
• Example: speed and time for fixed distance.
• We identify variation type from how quantities change.
• Variation helps model real-world proportional relationships.