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Question 111

Which pairs of quantities are directly proportional under the stated conditions? Select all that apply.

  1. Mass bought and total cost at a fixed price per kilogram.Correct answer
  2. A child's age and height throughout childhood.
  3. The perimeter of a square and its side length.Correct answer
  4. Rental days and total cost with a fixed booking fee.

Explanation

At a fixed price per kilogram, cost is a constant multiple of mass, and a square's perimeter is four times its side length, so both relationships pass through zero. Age and height do not maintain one fixed ratio, while a rental with an initial charge is the closest false candidate because its constant daily rate is offset by a nonzero fee.

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Question 111: Which pairs of quantities are directly proportional under… · Ratios and Proportions · Questena