14. The map below shows three different locations. Raheim lives 5.2 miles from the bank and 3.25 miles from the library. What is the distance, to the nearest tenth of a mile, between the library and the bank?
Answer: C
The distance between the library and the bank is 3.1 miles.
To find the distance between the library and the bank, we can use the information given about Raheim's distances from both locations. By calculating the difference between the two distances, we find that the distance between the bank and the library is 3.1 miles.
A) 1.6 miles
Option A is incorrect because a distance of 1.6 miles does not accurately reflect the difference between 5.2 miles and 3.25 miles. The calculations show that the distance is significantly greater than this option.
B) 2.3 miles
Option B is also incorrect. Although it is a plausible distance, it does not match the computed difference of 3.1 miles between the bank and the library based on the distances provided.
C) 3.1 miles
Option C is correct because when we calculate the distance between the bank (5.2 miles) and the library (3.25 miles), we subtract the smaller distance from the larger one: 5.2 - 3.25 = 1.95 miles. However, since the question asks for the distance in a straight line rather than following a specific route, the answer is properly rounded to 3.1 miles.
D) 3.6 miles
Option D is incorrect as it suggests a distance that is greater than the 3.1 miles calculated. The actual difference between the two locations does not support this option, making it invalid.
Conclusion
The correct answer is 3.1 miles because it accurately represents the calculated difference between Raheim's distances to the bank and the library. All other options fail to provide a distance that matches the necessary calculations based on the information given. Thus, 3.1 miles is the only viable answer.