Question

what is the correct conversion factor to complete the following problem?
36.2 miles/gallon × ???/? ?? × 1 gallon/4 qt × 1.507 qt/1 l = 15.4 km/l
2.6 km/gallon
1.609 l/1 qt
1.609 km/1 mile
2.6 miles/1 l

Explanation:

Step1: Analyze unit - conversion requirements

We need to convert miles to kilometers and quarts to liters in the given equation. The key is to use the correct conversion factors. The conversion factor from miles to kilometers is 1 mile = 1.609 km.

Step2: Check the equation structure

In the left - hand side of the equation $\frac{36.2\text{ miles}}{\text{gallon}}\times\frac{???}{???}\times\frac{1\text{ gallon}}{4\text{ qt}}\times\frac{1.507\text{ qt}}{1\text{ L}}$, we want to cancel out the units to get the right - hand side in km/L. We need a conversion factor that will convert miles to kilometers.

Answer:

C. $\frac{1.609\text{ Km}}{1\text{ mile}}$