Questions: In September 2016, the cost of gasoline in Berlin was around 1.25 euros per liter. What would the equivalent cost be in U.S. dollars per gallon? 1 U.S. dollar ≈ 0.896 euros 1 gallon ≈ 3.785 liters

In September 2016, the cost of gasoline in Berlin was around 1.25 euros per liter. What would the equivalent cost be in U.S. dollars per gallon?
1 U.S. dollar ≈ 0.896 euros
1 gallon ≈ 3.785 liters

Transcript text: In September 2016, the cost of gasoline in Berlin was around 1.25 euros per liter. What would the equivalent cost be in U.S. dollars per gallon? 1 U.S. dollar $\approx 0.896$ euros 1 gallon $\approx 3.785$ liters

Solution

Solution Steps

Step 1: Convert the cost of gasoline to euros per gallon

To convert the cost from euros per liter to euros per gallon, we multiply the cost of gasoline in euros per liter (1.25 euros) by the conversion factor (3.785 liters per gallon). \[C_{e\_gallon} = C_e \times F = 1.25 \times 3.785 = 4.731 \, \text{euros per gallon}\]

Step 2: Convert euros to U.S. dollars

To convert the cost from euros per gallon to U.S. dollars per gallon, we divide the cost in euros per gallon by the exchange rate (0.896 euros per U.S. dollar). \[C_{usd\_gallon} = \frac{C_{e\_gallon}}{E} = \frac{4.731}{0.896} = 5.28 \, \text{U.S. dollars per gallon}\]