In Europe, cars' gas consumption is measured in liters per 100 kilometers. In the United States, the unit used is miles per gallon. a) How are these units related? b) How many miles per gallon does your car get if it consumes 12.2 liters per 100 kilometers? c) What is your car's gas consumption in liters per 100 kilometers if it gets 27.4 miles per gallon? d) Can you draw a curve plotting miles per gallon versus liters per 100 kilometers? If yes, draw the curve.

#tag_title# Short Answer The relationship between liters per 100 kilometers and miles per gallon is given by the conversion formula: $$\text{MPG} = \frac{100 \times 0.621371}{\text{Liters per 100km} \times 0.264172}.$$ To convert from liters per 100km to miles per gallon, apply this formula. For example, given a car consumes 12.2 liters per 100 kilometers, it gets approximately 23.55 miles per gallon. To convert from miles per gallon to liters per 100 km, rearrange the conversion formula and substitute the given value. For example, given a car gets 27.4 miles per gallon, it consumes approximately 8.64 liters per 100 kilometers. The function relating miles per gallon and liters per 100 km is a hyperbolic curve, which can be plotted using graphing software or a graphing calculator.