Physics, 31.08.2019 01:30 chimbali9736

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.

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Answer from: ic838847

7.21 USD.

Further explanation

Problem:

Given in Europe, the average fuel cost is 1.063 euros/liter.A car with an average consumption of 6.00 liters of fuel per 100 km.

Question:

How much (in US dollars) will we spend properly on fuel on our trip? Express the answer numerically in US dollars to three significant figures.

Let us convert the unit price from the euro to USD. Currently, the exchange rate of 1 euro is 1.13 USD.

$\boxed{ \ 1.063 \ euro \times \frac{1.13 \ USD}{1 \ euro} = 1.20119 \ USD \ }$

The term euro is crossed out.

After currency conversion, the average fuel cost is 1.20119 USD/liter.

We need 6.00 liters of fuel during the trip.

$\boxed{ \ 6.00 \ liters \times \frac{1.20119 \ USD}{1 \ liter} = 7.20714 \ USD \ }$

The term liter is crossed out.

We rounded up to three significant figures. Hence, the cost that we will spend on fuel on our trip is as much $\boxed{\boxed{ \ 7.21 \ USD \ }}$

Want to follow another way? Let's see.

$\boxed{ \ 6.00 \ liters \times \frac{1.063 \ euros}{1 \ liter} = 6.378 \ euro \ }$

The term liter is crossed out.

$\boxed{ \ 6.378 \ euro \times \frac{1.13 \ USD}{1 \ euro} = 7.20714 \ USD \ }$

The term euro is crossed out.

We get a similar result, i.e.,

$\boxed{\boxed{ \ 7.21 \ USD \ }}$

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Keywords: you select, a rental package, a car with average consumption, 6.00 liters of fuel per 100 km, in Europe, the cost is 1.063 euros/liter, how much, in US dollars, USD, spend, trip, express, numerically, three significant figures, conversion

Answer from: kellymcdow5135

The price of the fuel of the car in the complete trip of $100\text{ km}$ in US dollars is $\boxed{\$\,7.21}$ .

Explanation:

Given:

The price of the fuel in Europe is $1.063\text{ euros/ltr}$ .

The amount of fuel required for every $100\text{ km}$ is $6.00\text{ ltr}$ .

Concept:

The value of one euro equivalent to the US dollar is $\$\,1.11$ .

The cost of the fuel in terms of the US dollar is:

$\begin{aligned}c&=1.063\text{ euros/ltr}\left(\dfrac{\$\,1.11}{1\text{ euro}}\right)\\&=\$\,1.18\text{ USD/ltr}\end{aligned}$

Since the car consumes $6\text{ ltr}$ of fuel during the journey of $100\text{ km}$ , the total expense of the fuel consumed by the car in the trip of $100\text{ km}$ .

So, the fuel expense for the trip of $100\text{ km}$ can be obtained as the product of price for one litre to the total amount of fuel required for the trip.

The fuel expense for the trip of $100\text{ km}$ can be obtained as:

$\begin{aligned}\text{ cost}&=1.18\text{ USD/ltr}\times(6\text{ ltr})\\&=\$\,7.08\text{ USD}\end{aligned}$

Thus, the price of the fuel of the car in the complete trip of $100\text{ km}$ in US dollars is $\boxed{\$\,7.21}$ .

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Units and Measurement

Keywords:

Rental package, car, average consumption, euro, US dollar, USD, europe, fuel on your trip, fuel cost, 6 liter, 1.063 euros/liter.

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