17. A student lives 23.2 miles from the local community college. Which of the following distances in kilometers does the student travel to go to class? (Round to the nearest tenth.) Note: 1 km = 0.62 mi
Answer: A
The student travels 37.4 kilometers to go to class.
To convert the distance from miles to kilometers, the student’s travel of 23.2 miles is multiplied by the conversion factor of 1 km = 0.62 mi. This calculation results in approximately 37.4 kilometers when rounded to the nearest tenth.
A) 37.4 km
This option is correct as it accurately represents the conversion of 23.2 miles to kilometers. The calculation performed is 23.2 miles ÷ 0.62 mi/km, which equals approximately 37.4 km.
B) 14.4 km
This option is incorrect because it significantly underestimates the distance traveled. A conversion of 23.2 miles to kilometers does not yield this figure; therefore, this answer does not reflect the proper calculation.
C) 61.1 km
This option is incorrect as it overestimates the distance. The conversion of 23.2 miles to kilometers results in a value far less than this option, indicating a misunderstanding of the distance conversion process.
D) 23.6 km
This option is incorrect because it does not reflect the actual conversion of 23.2 miles to kilometers. The distance in kilometers is considerably higher than 23.6 km, making this answer inaccurate.
Conclusion
The correct answer, 37.4 km, is derived from an accurate conversion of miles to kilometers, confirming that the student indeed travels this distance to class. Other options fail to provide the correct calculation, either underestimating or overestimating the actual distance. Thus, option A stands out as the only accurate representation of the distance traveled.