5752 Core Academic Skills for Educators — Praxis Core Reading 5752
Answer: A
The bike travels approximately 14700 inches per minute.
To find out how far the bike travels in one minute, we can calculate the circumference of the wheels and then multiply that by the number of revolutions per minute. The circumference of a wheel with a diameter of 26 inches is about 81.68 inches, and multiplying this by 180 revolutions gives approximately 14700 inches.
A) 14700
This option is correct as it accurately represents the total distance traveled by the bike in one minute. The calculation is based on the formula for circumference (C = πd), where d is the diameter. Thus, the circumference of the wheel is approximately 81.68 inches, and when multiplied by 180 revolutions, it results in 14700 inches.
B) 15700
This option is incorrect. While it is a plausible figure, it does not align with the calculated distance based on the wheels' circumference and the number of revolutions. The calculations show that the bike travels specifically 14700 inches per minute, making 15700 inches inaccurate.
C) 16700
This option is incorrect as well. Like option B, it is an incorrect estimate of the bike's travel distance. The calculations yield 14700 inches per minute, and thus 16700 inches does not reflect the correct mathematical outcome based on the wheel's dimensions and revolutions.
D) 17700
This option is also incorrect. It exceeds the calculated travel distance of 14700 inches per minute. The formula used to determine the distance traveled is precise, and any figure above 14700 inches does not correspond to the parameters given in the question.
E) 18700
This option is incorrect. Similar to the other incorrect options, it does not match the calculated travel distance of 14700 inches. The precise calculation of the wheels' circumference and the number of revolutions confirms that 18700 inches is not a viable outcome.
Conclusion
The correct answer, 14700 inches, is derived from accurately calculating the circumference of the bicycle's wheels and multiplying it by the number of revolutions per minute. All other options are incorrect as they do not reflect the calculations based on the provided diameter and revolutions, demonstrating a clear understanding of the distance traveled by the bike.