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Question 110

A taxi fare is 4plus4 plus 2 for each kilometre travelled. Why is total fare not directly proportional to distance?

  1. Because every extra kilometre adds the same $2
  2. Because the fare increases as distance increases
  3. Because a zero-kilometre trip still has a $4 fareCorrect answer
  4. Because $4 is exactly twice the per-kilometre charge

Explanation

At zero kilometres the fare is already 4,sotherelationshiphasanonzerostartingvalueandcannothavetheformfareequalsaconstanttimesdistance.Theconstant4, so the relationship has a nonzero starting value and cannot have the form fare equals a constant times distance. The constant 2 per kilometre is tempting evidence, but a constant variable rate does not remove the fixed charge.

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Question 110: A taxi fare is $4 plus $2 for each kilometre travelled. Why… · Ratios and Proportions · Questena