Question

On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between
A. 290/12.5 and 290/11.5
B. 295/12 and 285/11.5
C. 285/12 and 295/12
D. 285/12.5 and 295/11.5
E. 295/12.5 and 285/11.5

Answer 1

Answer:

D.  $\frac{285}{12.5}$ and $\frac{295}{11.5}$.

Step-by-step explanation:

We have been given that one a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon.

The range of miles driven would be between $285$ because number of miles in rounded to nearest 10 miles.

The range of gallons of gasoline would be $11.5$ because number of gallons of gasoline in rounded to nearest gallon.

To find mileage, we will divide number of miles by number of gallons.

The possible number of gallons of gasoline will be 12.5 gallons for 285 miles to get the minimum number of miles.

Similarly, the possible number of gallons of gasoline will be 11.5 gallons for 295 miles to get the maximum miles.

Therefore, our required range would be $\frac{285}{12.5}$ and $\frac{295}{11.5}$.