(c) If an automobile is able to travel 400 km on 47.3 L of gasoline, what is the gas mileage in miles per gallon?

검증된 단계별 안내

Convert the distance from kilometers to miles using the conversion factor: 1 km = 0.621371 miles.

Convert the volume from liters to gallons using the conversion factor: 1 L = 0.264172 gallons.

Calculate the gas mileage by dividing the distance traveled in miles by the volume of gasoline used in gallons.

Set up the equation for gas mileage: \( \text{Gas Mileage} = \frac{\text{Distance in miles}}{\text{Volume in gallons}} \).

Simplify the equation to find the gas mileage in miles per gallon.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, it involves converting kilometers to miles and liters to gallons. Understanding the conversion factors (1 km = 0.621371 miles and 1 L = 0.264172 gallons) is essential for accurately calculating the gas mileage.

Gas Mileage Calculation

Gas mileage, often expressed in miles per gallon (mpg), measures the distance a vehicle can travel per unit of fuel consumed. To calculate it, one divides the total distance traveled by the total volume of fuel used. This concept is crucial for evaluating vehicle efficiency and environmental impact.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one set of units to another by using conversion factors. It ensures that the units cancel appropriately, leading to the correct final units. In this problem, dimensional analysis helps in systematically converting kilometers and liters into miles and gallons to find the desired gas mileage.