Correct Answer:
D. 100 yards
This problem involves direct proportionality, where the amount of cloth produced is directly proportional to the time spent. First, determine the machine's production rate. If it makes 4 yards of cloth in 2 minutes, its rate is 4 yards / 2 minutes = 2 yards per minute.
To find out how many yards it makes in 50 minutes, multiply this rate by the new time: 2 yards/minute * 50 minutes = 100 yards. Therefore, option D is correct.
- A: 25 yards is incorrect; this might result from dividing 50 by 2, then by 1, or some other miscalculation.
- B: 50 yards is incorrect; this would imply a rate of 1 yard per minute, which is half the actual rate.
- C: 75 yards is incorrect; there's no direct mathematical path to this answer based on the given information.