Prealgebra · Question of the Day

Prealgebra Question of the Day

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Saturday, October 10, 2026

Two proportional relationships are given: Relationship A has the equation y=0.75xy = 0.75x and Relationship B passes through the points (4,6)(4, 6) and (8,12)(8, 12). Which statement is true?

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Question of the Day

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Two proportional relationships are given: Relationship A has the equation y=0.75xy = 0.75x and Relationship B passes through the points (4,6)(4, 6) and (8,12)(8, 12). Which statement is true?

  1. Relationship A has a greater constant of proportionality than Relationship B
  2. Relationship B has a greater constant of proportionality than Relationship A (correct answer)
  3. Both relationships have the same constant of proportionality of 0.75
  4. Both relationships have the same constant of proportionality of 1.5

Explanation: Relationship A has k=0.75k = 0.75. For Relationship B, using either point: k=64=1.5k = \frac{6}{4} = 1.5 or k=128=1.5k = \frac{12}{8} = 1.5. Since 1.5>0.751.5 > 0.75, Relationship B has the greater constant. Choice A reverses the comparison. Choice C incorrectly calculates Relationship B's constant as 0.75. Choice D correctly identifies Relationship B's constant but incorrectly states they're equal.