You and your friends are organizing a trip to Europe. Your plan is to rent a car and drive through the major European capitals. By consulting a map you estimate that you will cover a total distance of 5000 km. Consider the euro-dollar exchange rate given in the introduction and use unit conversion to work through these simple problems.Part AYou select a rental package that includes a car with an average consumption of 6.00 liters of fuel per 100 km. Considering that in Europe the average fuel cost is 1.063 euros/liter, how much (in US dollars) will you spend in fuel on your trip?Express your answer numerically in US dollars to three significant figures.Answer:383 USDPart BHow many gallons of fuel would the rental car consume per mile?Express your answer numerically in gallons per mile to three significant figures.Answer:2.55*10^-2 gal/milePart CWhat is the average cost, in dollars per gallon, of fuel in Europe?Express your answer numerically in dollars per gallon to three significant figures.(1EUR=1.20USD)? USD/gallon

Respuesta :

Answer:

A: 383 USD

B: 0.0255 gal/km

C: 4.83 USD/gal

Explanation:

Part A : Determine the total fuel consumed over distance traveled and the cost of given fuel. Convert Euro value to USD

Total distance = 5000 km

Average fuel consumption = 6 ltr per 100 km = 0.06 ltr/km

Average fuel cost = 1.063 EUR/ltr

EUR to USD = 1.2 USD/EUR

Total fuel consumption = total distance × average fuel consumption

Total fuel consumption = 5000 km × 0.06 ltr/km

Total fuel consumption = 300 ltr

Total fuel cost = total fuel consumption × average fuel cost

Total fuel cost = 300 ltr × 1.063 EUR/ltr

Total fuel cost = 318.9 EUR

Total fuel cost = 318.9 EUR × 1.2 USD/EUR

Total fuel cost = 383 USD

 

Part B : Convert given fuel consumption to mile per km based on standard conversions of volume and distance

Average fuel consumption = 0.06 ltr/km

Ltr to gal = 0.264 gal/ltr

Km to mile = 0.621 mile/km

Average fuel consumption = 0.06 ltr/km × 0.264 gal/ltr ÷ 0.621 mile/km

Average fuel consumption = 0.0255 gal/km

Part C : Convert given cost of fuel to USD/gal based on standard conversions of currency an volume

Average fuel cost = 1.063 EUR/ltr

EUR to USD = 1.2 USD/EUR

Ltr to gal = 0.264 gal/ltr

Average fuel cost = 1.063 EUR/ltr × 1.2 USD/EUR ÷ 0.264 gal/ltr

Average fuel cost = 4.83 USD/gal

The cost of the total fuel consumed can be determined by the conversion of the Euro into Dollars. The total cost of the fuel is 383 USD.

Euro and Dollars:

The cost of the total fuel consumed can be determined by the conversion of the Euro into Dollars.

Given here,

Total distance = 5000 km

Average fuel consumption = 6 ltr per 100 km = 0.06 ltr/km

Average fuel cost = 1.063 EUR/ltr

1 EUR  = 1.2 USD

So, Total fuel consumption,

⇒ 5000 km × 0.06 ltr/km

300 ltr

Thus, Total fuel cost,

⇒ 300 ltr × 1.063 EUR/ltr

⇒ 318.9 EUR

⇒ 318.9 EUR × 1.2 USD

383 USD

Therefore, the total cost of the fuel is 383 USD.


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