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Lesson 14 · At the pump
Reading the pump
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Reading the pump

Canadian pumps and window stickers speak in L/100 km\mathrm{L/100\,km} — read aloud, litres per hundred kilometres: the fuel a car drinks to cover 100 km. It is fuel PER distance, so smaller is thriftier. American stickers run the fraction the other way — mpg, distance per fuel, where BIGGER is better. Neither is wrong; they are reciprocals, and flipping the fraction flips which way “good” points.

The relation is C=100 VdC = \dfrac{100\,V}{d}, where VV is the litres burned, dd is the kilometres covered, and CC is the rating itself: litres over the trip, scaled to a neat hundred. And the pump's price tag pp, in dollars per litre, is a rate like every slope in this chapter — multiply it by the litres VV and the bill appears. Rates in, money out: this whole lesson is slopes at the gas station.

CVd

C=100 VdC = \frac{100\,V}{d}

  • CC= Consumption
  • VV= Fuel used (volume)
  • dd= Distance (length)
Fuel Consumption (L/100 km) solver →

C⋅M=235.215C \cdot M = 235.215

  • CC= Consumption
  • MM= Fuel economy
Miles per Gallon ↔ L/100 km solver →
mCp

p=Cmp = \frac{C}{m}

  • pp= Unit price (cost per mass)
  • CC= Total price (money)
  • mm= Quantity (mass)
Unit Price (Price per Unit Quantity) solver →