Understanding Direct & Inverse Variation
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Beginner
Start here! Easy to understand
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Beginner Explanation
A direct variation shows a proportional relationship where y changes in direct proportion to x, modeled by $y = kx$. The constant k determines the steepness of the line. An inverse variation shows an inverse relationship, modeled by $xy = k$, where increasing x decreases y along a hyperbola.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
Which equation represents a direct variation?
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2
Real-World Problem
Question Exercise
Intermediate
Direct Variation Problem
A car travels at a constant speed. The distance $d$ varies directly with time $t$. If $d = 60$ when $t = 2$ hours, what is $d$ when $t = 3$ hours?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
If $xy = 12$ and $x = 4$, what is $y$?
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4
Challenge Quiz
Single Choice Quiz
Advanced
Which graph represents an inverse variation?
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Recap
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