Derivative Proportions in Algebra
Test your knowledge of derivative proportions and their applications in algebraic relationships
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Quiz Questions & Answers
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Question 1: If y varies directly with x, and y = 12 when x = 3, what is the constant of proportionality?
9
15
36
4
Question 2: In inverse proportion, if one quantity doubles, what happens to the other quantity?
It stays the same
It doubles
It squares
It halves
Question 3: What is the standard form equation for direct variation?
y = k/x
y = kx
y = k²x
y = x/k
Question 4: In joint variation, y varies directly with both x and z. Which equation represents this?
y = k(x+z)
y = k(x/z)
y = kxz
y = k/(xz)
Question 5: What type of graph represents direct variation?
Circle
Straight line through origin
Parabola
Hyperbola
Question 6: In combined variation, if y varies directly with x and inversely with z, what's the equation?
y = k(xz)
y = kx/z
y = k(x+z)
y = k/(xz)
Question 7: What happens to the constant of proportionality when quantities are inversely proportional?
It becomes zero
It remains constant
It varies
It becomes negative
Question 8: If y varies inversely as the square of x, which equation represents this relationship?
y = k/x
y = kx²
y = k²/x
y = k/x²