An american car travels 32 miles on one gallon. A European car travels 12.7 kilometers on one liter of gas. Wich car gets better gas mileage? Explain your reasoning.
To determine which car gets better gas mileage, we need to compare the distance traveled per unit of fuel consumption for both cars: the American car travels 32 miles per gallon and the European car travels 12.7 kilometers per liter.
To make a fair comparison, we need to convert the American car's fuel consumption from miles per gallon to kilometers per liter.
First, we convert 32 miles to kilometers. We know that 1 mile is approximately equal to 1.60934 kilometers.
32 miles = 32 * 1.60934 kilometers ≈ 51.5 kilometers.
Now, we can compare the fuel consumption of both cars:
American car: 51.5 kilometers per gallon.
European car: 12.7 kilometers per liter.
Since we are comparing the distance traveled per unit of fuel consumption, a higher value is better.
In this case, the American car travels a greater distance per unit of fuel consumption (per gallon) compared to the European car (per liter). Therefore, the American car has better gas mileage.
To determine which car gets better gas mileage, we need to convert the units to a common measurement. Let's convert the European car's fuel efficiency from kilometers per liter to miles per gallon.
First, let's convert 12.7 kilometers to miles. 1 kilometer is approximately 0.621371 miles. So, 12.7 kilometers is equal to 12.7 x 0.621371 = 7.8954 miles (rounded to four decimal places).
Next, let's convert 1 liter to gallons. 1 liter is approximately 0.264172 gallons (rounded to six decimal places).
Now, we can calculate the European car's fuel efficiency in miles per gallon. We divide the distance (7.8954 miles) by the volume (0.264172 gallons).
European car's fuel efficiency = 7.8954 miles / 0.264172 gallons ≈ 29.8687 miles per gallon (rounded to four decimal places).
Comparing this to the American car's fuel efficiency of 32 miles per gallon, we can see that the American car gets better gas mileage. The American car travels 32 miles on one gallon of gas, while the European car travels approximately 29.8687 miles on one gallon of gas.
Therefore, based on these calculations, the American car gets better gas mileage.
the units need to be consistent
convert between miles and km , and gal and L , to find the best mileage