35. 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 by multiplying the two figures (25 miles/gallon * 16 gallons).
A) 400 miles
This option is correct because it is derived from the calculation of multiplying the car's fuel efficiency (25 miles per gallon) by the total gallons in the tank (16 gallons), resulting in 400 miles.
B) 100 miles
This option is incorrect as it underestimates the distance Roger can drive. If Roger's car achieved 100 miles, it would mean he only used 4 gallons of gas, which does not correspond to the fuel efficiency of 25 miles per gallon.
C) 320 miles
This option is also incorrect. To arrive at 320 miles, one would need to assume a fuel efficiency of 20 miles per gallon (320 miles ÷ 16 gallons), which is not the stated average for Roger's car.
D) 41 miles
This option is incorrect as it significantly underrepresents the distance Roger can drive. To achieve only 41 miles, the car would have to average approximately 2.56 miles per gallon, which is far below the given efficiency of 25 miles per gallon.
Conclusion
The calculation clearly shows that Roger can drive 400 miles on a full tank based on his car's fuel efficiency and tank capacity. All other options significantly miscalculate or misinterpret the data, leading to incorrect conclusions on the distance he could travel. Thus, option A is the only valid choice.