you plan is to rent a car and drove through the major European capitals.By consu

Question

you plan is to rent a car and drove through the major European capitals.By consulting a nap you estimate that you will cover a total distance of 5000km. Consider the euro-dollar exchange rate given introduction and use unit conversion to work through these simple problems.
(A) you select a rental package that includes a car with an average consumption of 6.00liters of fuel per 100km.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 answer numerically in US dollars to the three significant figures.

(B)How many gallons of fuel would the rental car consume per mile?
Express answer numerically in gallons per mile to three significant figures

Explanation / Answer

You 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. Hint 1. How to approach the problem Begin with writing the total distance in kilometers. Then multiply this by the consumption rate [in liters/ (100 km)] of your rental car to calculate how many liters of fuel are needed. Then compute the total cost of fuel (in euros) by multiplying your expression by the average fuel cost. Finally, convert the total cost of fuel to dollars. Hint 2. Find the unit factor to express the cost of fuel in euros Which of these unit factors can be used to calculate the cost of fuel in euros?

Hint 1. Conversion factor When calculating the total cost of fuel in euros, you divide kilometers by kilometers (and cancel out the kilometer units) and multiply the resulting value in liters by a conversion factor that has the liter unit at the bottom, so that again you can cancel out units.

Hint 3. Find the unit factor to convert euros to dollars Which of these unit factors can be used to convert the total cost of fuel to dollars?

Hint 1. Conversion factor Since you are converting the cost of fuel from euros to dollars, you need to multiply by a conversion factor that has the euro unit, EUR, on the bottom, so that you can cancel out units

. Hint 4. Canceling units You can avoid many mistakes in unit conversion problems if you are careful to cancel units.

ANSWER: Cost of fuel = 383 USD

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Part B How many gallons of fuel would the rental car consume per mile? Express your answer numerically in gallons per mile to three significant figures.

Hint 1. How to approach the problem Begin with writing the consumption rate in liters per kilometer. Then multiply this by the unit factor needed to convert kilometers to miles. Finally convert liters to gallons. Be sure to cancel units so that your answer is dimensionally consistent.

Hint 2. Find the unit factor to convert kilometers to miles Which of these unit factors can be used to convert kilometers to miles?

Hint 1. Conversion factor Since you are converting the car's fuel consumption per kilometer to the car's fuel consumption per mile you need to multiply by a conversion factor that has the kilometer unit on the top, so that you can cancel out units.

Hint 3. Find the unit factor to convert liters to gallons Which of these unit factors can be used to convert liters to gallons?

Hint 1. Conversion factorSince you are converting the car's consumption in liters to gallons, you need to multiply by a conversion factor that has the liter unit at the bottom, so that you can cancel out units.

ANSWER: 2.55

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