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Chapter 4: Problem 59

Find the gas mileage rounded to the nearest tenth. \(324.8 \mathrm{mi} ; 18.2 \mathrm{gal}\)

Short Answer

Expert verified
17.8 miles per gallon

Step by step solution

01

Understand the Problem

The problem requires finding the gas mileage, which is the distance traveled per unit of fuel. Gas mileage is calculated by dividing the distance traveled by the amount of fuel used.
02

Set Up the Formula

The formula for gas mileage is \(\text{Gas Mileage} = \frac{\text{Distance traveled}}{\text{Amount of Fuel used}}\). Here, the distance traveled is 324.8 miles, and the fuel used is 18.2 gallons.
03

Calculate the Gas Mileage

Insert the values into the formula: \(\text{Gas Mileage} = \frac{324.8 \text { mi}}{18.2 \text{ gal}}\).
04

Perform the Division

Now divide 324.8 by 18.2: \(\text{Gas Mileage} = \frac{324.8}{18.2} = 17.844\).
05

Round to the Nearest Tenth

Round 17.844 to the nearest tenth. The value of the tenths place is 8, and the value of the hundredths place is 4. Since the hundredths place is less than 5, we round down. So, the gas mileage is approximately 17.8 miles per gallon.

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Key Concepts

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

distance and fuel
Understanding the key elements involved in gas mileage calculations is essential. In this exercise, we start with two primary values: distance traveled and fuel used.

The **distance traveled** refers to how far the vehicle has gone, which can be measured in miles or kilometers. For this example, the distance is given as 324.8 miles.

The **fuel used** is the amount of fuel consumed over the distance traveled. Fuel is usually measured in gallons or liters. Here, the fuel used is 18.2 gallons.
Together, these two values allow us to calculate the efficiency of fuel usage.
division method
The division method is how we calculate gas mileage. The formula to find gas mileage is:

\text{Gas Mileage} = \frac{\text{Distance traveled}}{\text{Amount of Fuel used}}

This formula helps us determine how many miles the vehicle can travel per gallon of fuel.

Insert the given values into the formula:
\(\text{Gas Mileage} = \frac{324.8 \text { mi}}{18.2 \text{ gal}}\)

Performing the division gives us:

\(\text{Gas Mileage} = \frac{324.8}{18.2} = 17.844\)

This result, 17.844, represents the number of miles traveled per gallon of fuel (before rounding).

rounding to nearest tenth
The final step to find the gas mileage is to round the result to the nearest tenth.

Rounding involves looking at the digit to the right of the tenth place (the hundredths place). For our result, 17.844, the digit in the tenths place is 8, and the digit in the hundredths place is 4.

If the hundredths place is 5 or higher, we round up the tenths place by one. If it is less than 5, we keep the tenths place as is. In our case, 4 is less than 5, so we round down, keeping the tenths place the same.

Therefore, 17.844 rounded to the nearest tenth is 17.8.

So, the gas mileage is approximately 17.8 miles per gallon.

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