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?

Rationale

Roger can drive about 400 miles on a full tank.

To determine how far Roger can drive on a full tank, we multiply the mileage his car gets per gallon (25 miles) by the total gallons his tank holds (16 gallons). This calculation yields 400 miles, indicating the distance he can travel before needing to refuel.

A (400 miles) CORRECT

This choice is derived from the calculation of 25 miles per gallon multiplied by 16 gallons, resulting in 400 miles. This is the correct answer, as it accurately reflects the distance Roger can drive on a full tank of gas.

B (100 miles) YOUR ANSWER

This choice mistakenly suggests that Roger can only drive 100 miles. This figure does not result from any multiplication of his car’s efficiency and the tank capacity, and it significantly underestimates the distance he can achieve with a full tank.

C (320 miles) YOUR ANSWER

This option appears to stem from a miscalculation, perhaps assuming a different miles-per-gallon ratio or tank capacity. However, with the correct figures, multiplying 25 miles per gallon by 16 gallons gives 400 miles, not 320.

D (41 miles) YOUR ANSWER

This answer is drastically lower than the correct calculation. It does not relate to the given miles per gallon or tank capacity and shows a misunderstanding of how to calculate distance based on fuel efficiency and tank size.

Conclusion

By multiplying Roger's car's fuel efficiency of 25 miles per gallon by the 16-gallon capacity of his gas tank, we determine he can travel approximately 400 miles on a full tank. The other options provided reflect incorrect calculations or misunderstandings of the problem, emphasizing the importance of correctly applying basic multiplication to solve real-world distance questions.

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?

Roger can drive about 400 miles on a full tank.

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