Question #48081
1 Answer
The European car is more efficient.
Explanation:
The problem actually tells you what you need to do in order to solve this problem.
I will convert the US units to metric units using the conversion factors
#"1 mi" ~= "1.609 km" " "# and#" " "1 gal" ~= "3.7854 L"#
So, convert the mileage of the American car from miles per gallon to kilometers per liter
#30color(red)(cancel(color(black)("mi")))/color(red)(cancel(color(black)("gal"))) * (1color(red)(cancel(color(black)("ga"))))/"3.7854 L" * "1.609 km"/(1color(red)(cancel(color(black)("mi")))) = "12.75 km/L"#
Rounded to one sig fig, the number of sig figs you gave for the mileage of the American car, you will get
#"30 mi/gal" = "13 km/L"#
This means that the European car is more fuel-efficient, since you can cover more distance using one liter of fuel
#"22 km/L" > "13 km/L"#