Reading Questions: Chap 3 Rates

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Reading Question 3. 1 In the context of quantities and dimensions, what does the word “per” mean?

Reading Question 3. 2 Are these two quantities the same (e.g. the same dimension) or different.

  • passenger miles
  • passengers per mile

Briefly justify your answer including consideration of the quantities’ dimension.

Reading Question 3. 3 A car typically has instruments to measure:

  1. speed (speedometer)
  2. mileage (odometer)
  3. fuel level

Fancier cars also show:

  1. instananeous (second-by-second) fuel economy (usually a menu item in the display)
  2. tire pressure

For each of these, say whether it is a rate, a rate of change, or something else. And, for each, give a very brief explanation of your answer.

Reading Question 3. 4 The text discusses “per capita” measurements. When is it more useful to look at a per capita rate (like GDP per person) rather than a total amount (total GDP) when comparing different countries?

Reading Question 3. 5 The text discusses the “MPG Illusion,” where increasing fuel economy from 10 to 20 mpg saves much more gas than increasing it from 30 to 40 mpg. Why does the European unit of Liters per 100 km (L/100km) avoid this confusion?