Initially, I took 285mi-294mi and 11.5g to 12.4g which leads to the range of 285/12.4 - 294/11.5.

Luckily, D is very close to that so I would have chosen correctly. The big thing here is that they say BETWEEN. Between is exclusive. ie if x is between 0 and 1, then 0 < x < 1.

So 294 is not the maximum number of miles. 294.9 mi gets rounded to 290. 294.99, 294.999, 294.9999,... all get rounded to 290.

Similarly, 285.1 gets rounded to 290. 285.01, 285.001, 285.0001,... all get rounded to 290.

So the number of miles traveled is between 285 and 295.

You can make the same argument for gallons of gasoline to see that the gallons of gasoline are between 11.5 and 12.5. I hope this helps. It is really just trying to confuse you with the definition of between.

Thanks for the reply... I guess pick the closest evil...

you are ask for an interval that contains the possible values for number of miles per gallon. Let's say X <= number of miles per gallon <=Y.

Now you have to find X and Y.
X should be the smallest possible value while Y should be the biggest possible value according to the restrictions.

Both values X and Y are fractions. We want to minimize X and maximize Y.

To minimize a fraction is to minimize the numerator and maximize the denominator.

the minimum value for the numerator among the options is 284 and the maximum number of the denominator among the options is 12.5 so
X =284/12.5


To maximize a fraction is to maximize the numerator and minimize the numerator.
Maximum value for the numerator is 295 and the minimum value for the denominator is 11.4 so
Y = 295/11.4

D is the correct answer.