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.
To find the total distance Roger can drive, multiply the miles per gallon (25) by the number of gallons in the tank (16). This calculation results in a total distance of 400 miles.
This choice is correct because multiplying 25 miles per gallon by 16 gallons gives 400 miles (25 x 16 = 400). This represents the maximum distance Roger can travel on a full tank of gas.
This choice is incorrect because it underestimates the distance Roger can drive. A calculation of 100 miles would imply a fuel efficiency or tank size that does not match the provided information about Roger's car and gas tank.
This choice is also incorrect. To arrive at 320 miles, one would incorrectly assume a different relationship between gallons and miles, such as incorrectly multiplying or assuming a lesser fuel efficiency. The correct calculation clearly shows that Roger can drive further.
This choice is incorrect as well, as it significantly underrepresents the driving distance. Such a low mileage could only be reached if the car had a drastically lower miles-per-gallon ratio or a much smaller tank, neither of which is applicable in this scenario.
Roger's car, with its 25 miles per gallon efficiency and a 16-gallon tank, allows for a calculated driving distance of 400 miles. This simple multiplication illustrates the efficiency of the vehicle and the capacity of the fuel tank, making choice A the only valid answer among the options provided.
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