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Chapter 6: Problem 7

Write as a unit rate. \(337.2 \mathrm{mi}\) on 12 gal of gas

Short Answer

Expert verified
28.1 miles per gallon

Step by step solution

01

Determine the given quantities

Identify the total distance traveled and the total amount of gas used. Here, the car travels 337.2 miles using 12 gallons of gas.
02

Set up the ratio

Form a ratio of miles to gallons. This ratio will be written as \[\frac{337.2 \text{ miles}}{12 \text{ gallons}}\].
03

Divide the quantities

Divide the total number of miles by the total number of gallons to find the unit rate. Perform the division \[\frac{337.2}{12} = 28.1 \text{ miles per gallon}\].

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Key Concepts

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

ratios
A ratio is a way to compare two quantities. In this exercise, we compare miles traveled to gallons of gas used. The idea is to see how much distance (in miles) we travel for each unit (gallon) of gas. Imagine you have a pie and you want to share it equally among your friends. The ratio tells you how large each piece will be.
division
Division helps us break down quantities into smaller, equal parts. In the exercise, we divided total miles by total gallons to find out how many miles can be traveled with one gallon of gas. This is called a unit rate. For example, if you have 10 chocolates and you want to give them to 2 friends so that they get an equal amount, you divide 10 by 2. Each friend gets 5 chocolates.
miles per gallon
Miles per gallon (MPG) measures how efficiently a car uses fuel. It tells us how many miles a car can travel on one gallon of gas. In the exercise, the car travels 337.2 miles using 12 gallons of gas. To find the MPG, we set up a ratio of 337.2 miles to 12 gallons and divide, resulting in 28.1 MPG. This means the car can travel 28.1 miles on just one gallon of gas. The higher the MPG, the more fuel-efficient the car is.

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