Grade 10 Math · At the pump
Reading the pump
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Reading the pump

Canadian pumps and window stickers speak in L/100km\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=100VdC = \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.