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Chapter 1: Problem 55

Gasoline is sold by the gallon in the United States and by the liter nearly everywhere else in the world. There are approximately 3.8 liters in a gallon. If the price of gas is \(\$ 4\) per gallon, how much does it cost per liter?

Short Answer

Expert verified
The cost per liter is approximately \(\$ 1.05\).

Step by step solution

01

- Identify the conversion rate

Determine the conversion factor between gallons and liters. It is given that there are approximately 3.8 liters in a gallon.
02

- Price per gallon

Identify the price of gas per gallon. It is given that the price is \(\$ 4\) per gallon.
03

- Calculation

Divide the price per gallon by the number of liters in a gallon to find the cost per liter. The calculation is \[ \frac{4 \text{ dollars}}{3.8 \text{ liters}} \approx 1.05 \text{ dollars per liter} \].

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Price Per Gallon
To understand the cost of gasoline, we first need to identify how much it costs per gallon. In the United States, gasoline is commonly sold by the gallon.
According to the exercise, the price of gasoline is provided as \(4\$\) per gallon.
This figure is crucial because it serves as the starting point for our calculations.
Knowing the price per gallon helps you compare gasoline costs across different regions and determine better fuel deals.
Liters to Gallons
The next step involves understanding the relationship between liters and gallons.
In most of the world, gasoline is sold by the liter. Therefore, it's essential to know the conversion factor between these units.
According to the exercise, 1 gallon is approximately equivalent to 3.8 liters.
This conversion factor is key to translating the price per gallon to a price per liter.
Always remember there are 3.8 liters per gallon; this will help in both academic exercises and real-life scenarios when comparing international fuel prices.
Cost Calculation
After understanding the price per gallon and the conversion factor, we now calculate how much gasoline costs per liter.
To find the cost per liter, simply divide the price per gallon by the number of liters in a gallon.
Using the provided data: \[ \frac{4 \text{ dollars}}{3.8 \text{ liters}} \approx 1.05 \text{ dollars per liter} \].
This calculation reveals that gasoline costs approximately \(1.05\$\) per liter.
This method can be applied to any conversion, ensuring you can always find the cost per desired unit.
Now, you have unlocked the key to converting and understanding fuel prices internationally!

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