43. Roger's car gets an average of 25 miles per gallon. If his gas tank holds 16 gallons, about how far can he drive on a full tank?
Answer: A
Roger can drive about 400 miles on a full tank.
With an average of 25 miles per gallon and a gas tank capacity of 16 gallons, Roger can drive approximately 400 miles on a full tank by multiplying the two values (25 miles/gallon * 16 gallons = 400 miles).
A) 400 miles
This option is correct because it accurately reflects the calculation of the total distance Roger can drive with the given fuel efficiency and tank capacity. The formula used is straightforward: miles per gallon multiplied by the number of gallons in the tank.
B) 100 miles
This option is incorrect as it significantly underestimates the distance Roger can travel. A calculation of 100 miles would imply a fuel efficiency of only 6.25 miles per gallon, which does not align with the stated 25 miles per gallon.
C) 320 miles
This option is also incorrect. To arrive at 320 miles, one would have to assume a lower efficiency or a smaller tank capacity. The correct calculation shows that 25 miles per gallon times 16 gallons equals 400 miles, making 320 miles an inaccurate estimate.
D) 41 miles
This option is incorrect and represents a complete misunderstanding of the fuel efficiency and capacity. Driving only 41 miles would suggest an extremely low efficiency, which does not reflect Roger's actual car performance of 25 miles per gallon.
Conclusion
The correct answer is 400 miles, as it is derived directly from the multiplication of the car's efficiency and the tank capacity. All other options fail to represent the calculations accurately, demonstrating a misunderstanding of the basic principles of distance, fuel efficiency, and capacity.