1. Frederica used 13.4 gallons of gasoline to drive 448.9 miles. What was the average number of miles she drove per gallon of gasoline?
Answer: B
Frederica drove an average of 33.5 miles per gallon of gasoline.
To find the average miles per gallon, we divide the total miles driven by the total gallons used. Frederica drove 448.9 miles using 13.4 gallons, resulting in approximately 33.5 miles per gallon.
A) 3.4 mpg
This option is incorrect because it significantly underestimates the average miles per gallon. When calculating, we find that the miles per gallon is much higher than 3.4, making this option not viable.
B) 33.5 mpg
This is the correct answer. By dividing the total miles (448.9) by the total gallons (13.4), we arrive at approximately 33.5 miles per gallon, which accurately reflects Frederica's fuel efficiency for the trip.
C) 60.15 mpg
This option is incorrect, as it overestimates the average miles per gallon. The calculation of total miles divided by total gallons does not support this figure, indicating a misunderstanding of the average fuel efficiency.
D) 435.5 mpg
This option is also incorrect, presenting an unrealistic average miles per gallon. Such a high figure is not feasible based on the provided data of total miles and gallons used, demonstrating a fundamental error in calculation.
Conclusion
The correct answer, 33.5 mpg, accurately reflects Frederica's average fuel efficiency based on her driving distance and gasoline consumption. All other options fail to represent the correct calculation, either by underestimating or overestimating the miles per gallon, highlighting the importance of precise mathematical evaluation in determining average rates.