Coles Carter
11/05/2023 · Senior High School
Part A An automobile travels 94.1 km on 7.08 L of gasoline. What is the gas mileage for the automobile in miles per gallon? \( 50.3 \mathrm{mi} / \mathrm{gal} \) \( 31.3 \mathrm{mi} / \mathrm{gal} \)
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Step-by-step Solution
To calculate the gas mileage in miles per gallon (mpg), we need to convert the distance traveled from kilometers to miles and the volume of gasoline from liters to gallons.
1. **Convert kilometers to miles:**
\[
1 \text{ km} = 0.621371 \text{ miles}
\]
\[
94.1 \text{ km} \times 0.621371 \text{ miles/km} \approx 58.5 \text{ miles}
\]
2. **Convert liters to gallons:**
\[
1 \text{ L} = 0.264172 \text{ gallons}
\]
\[
7.08 \text{ L} \times 0.264172 \text{ gallons/L} \approx 1.87 \text{ gallons}
\]
3. **Calculate miles per gallon (mpg):**
\[
\text{mpg} = \frac{\text{miles}}{\text{gallons}} = \frac{58.5 \text{ miles}}{1.87 \text{ gallons}} \approx 31.2 \text{ mi/gal}
\]
Thus, the gas mileage for the automobile is approximately \( 31.2 \text{ mi/gal} \).
Since the closest option provided is \( 31.3 \text{ mi/gal} \), we can round it to that value.
**Final Answer: \( 31.3 \text{ mi/gal} \)**
Quick Answer
The gas mileage is approximately \( 31.3 \text{ mi/gal} \).
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